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Last updated on November 29th, 2024
The Least common multiple (LCM) is the smallest number that is divisible by the numbers 8 and 9. 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 8 and 9 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 8 and 9 can be found using the following steps;
Steps:
1. Write down the multiples of each number:
Multiples of 8 = 8,16,24,32,40,48,56,64,72…
Multiples of 9= 9,18,27,36,45,54,63,72…
2. Ascertain the smallest multiple from the listed multiples of 8 and 9.
The LCM of 8 and 9 = 72
The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.
Steps:
Prime factorization of 8 = 2×2×2
Prime factorization of 9 = 3×3
LCM (8,9) = 2×2×2×3×3 = 72
The Division Method involves simultaneously dividing the numbers by their prime factors and multiplying the divisors to get the LCM.
Steps:
2×2×2×3×3 = 72
LCM (8,9)=72
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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.