Last updated on May 26th, 2025
The Least common multiple (LCM) is the smallest number that is divisible by the numbers 18 and 24. The LCM can be found using the listing multiples method, the prime factorization and/or division methods. LCM helps to solve problems with fractions and scenarios like scheduling or aligning repeating cycle of events.
The LCM of 18 and 24 is the smallest positive integer, a multiple of both numbers. By finding the LCM, we can simplify the arithmetic operations with fractions to equate the denominators.
There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;
The LCM of 18 and 24 can be found using the following steps;
Step1: Write down the multiples of each number:
Multiples of 18 = 18,36,54,72,90…
Multiples of 24= 24,48,72…
Step 2: Ascertain the smallest multiple from the listed multiples of 18 and 24.
The LCM of 18 and 24 = 72
The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.
Step1: Find the prime factors of the numbers:
Prime factorization of 18 = 2×3×3
Prime factorization of 24 = 2×2×2×3
Step 2: Multiply the highest power of each factor ascertained to get the LCM:
LCM (18,24) = 2×2×3×3×2= 72
The Division Method involves simultaneously dividing the numbers by their prime factors and multiplying the divisors to get the LCM.
Step 1:Write down the numbers in a row;
Step 2: A prime integer that is evenly divisible into at least one of the provided numbers should be used to divide the row of numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers not divisible by the previously chosen prime number.
Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e,
2×2×2×3×3 = 72
LCM (18,24)=72
Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 18 and 24 make a note while practicing.
Bells at a play school ring for the assembly, 18 and 24 minutes apart, respectively. If they ring together at 1:00 PM, when will they ring together again?
The LCM of 18 and 24 is 72.
The bells will ring together at 2:12 PM next. The LCM expresses the smallest common interval between the digits.
A running track is 18 meters long and 24 meters wide. What is the shortest length of a fence needed to enclose the track?
The LCM of 18 and 24 is 72.
The smallest length that can be divided by both 18 and 24 can be divided by 72. The shortest length of the fence is 72 meters. The LCM expresses the smallest common interval between the digits.
One cookie jar is filled every 18 hours, and the candy jar is filled every 24 hours. If the jars started filling at the same time, how long will it take for the both of them to be filled?
The LCM of 18 and 24 is 72.
Both jars will be filled at the same time again in 72 hours. The LCM expresses the smallest common interval between the digits.
Two vans arrive at a store every 18 and 24 days, respectively, for a delivery. If they both arrive at the station today, when will they arrive together again?
The LCM of 18 and 24 is 72.
The vans will arrive at the station together again in 72 days. The LCM expresses the smallest common interval between the digits.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.