Last updated on May 26th, 2025
LCM is a common multiple, the smallest value between the numbers 36 and 48. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.
The LCM of 36 and 48 is 144. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.
Step1 : Write down the multiples of the numbers. Don’t stop too early.
Multiples of 36 = 36,72,108,144,…
Multiples of 48 =48,96,144,…
Step 2: The smallest common multiple is 144
Thus, LCM(36,48) = 144
Step 1 : factorize the numbers into its prime factors
36 = 22×32
48 = 24×3
Step 2 : find the highest powers of the factors of 36 and 48
Step 3 : Multiply the highest powers
LCM(36,48) = 144
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 36 and 48. Try to avoid them.
A radio station plays the advertisement for beauty products every 36 minutes and another advertisement for stationery every 48 minutes. If they both start at the same time now, after how long will they both play together again?
The LCM of 36 and 48 is 144.
The LCM of 36 and 48 is 144, which is the smallest common time interval for the given digits.
If the LCM of 36 and an unknown number xxx is 144, find xxx.
Use the LCM property:
LCM(36,x)=36×x/GCF(36,x)=144
Since LCM is 144, possible values of x could be any number such that GCF (36,x) is 12 or lower.
The possible values for x can be found as:
x could be 48 since GCF(36,48)=12
x could be 72 since GCF(36,72)=36
Hence, x=48 or x=72
x could be 48 or 72.
Compare the LCM of 36 and 48 with the product of these two numbers. How much larger is the product than the LCM?
Product of 36 and 48:
36×48=1728
Compare with the LCM:
1728−144=1584
The product is 1584 larger than the LCM.
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.