Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 932 and 937 the smallest integer that is 873284 that is divisible by both numbers.
Least Common Multiple (LCM) of 932 and 937 is 873284.
LCM(932,937) = 873284
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 937. First we will calculate the prime factors of 932 and 937.
Prime Factorization of 932
2 | 932 |
2 | 466 |
233 | 233 |
1 |
Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:
932 = 22×2331
Prime Factorization of 937
937 | 937 |
1 |
Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:
937 = 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 937.
LCM(932,937) = 22×2331×9371
LCM(932,937) = 873284
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1, 937
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 932 and 937, than apply into the LCM equation.
GCF(932,937) = 1
LCM(932,937) = ( 932 × 937) / 1
LCM(932,937) = 873284 / 1
LCM(932,937) = 873284
(i) The LCM of 937 and 932 is associative
LCM of 932 and 937 = LCM of 937 and 932
1. What is the LCM of 932 and 937?
Answer: LCM of 932 and 937 is 873284.
2. What are the Factors of 932?
Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.
3. What are the Factors of 937?
Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.
4. How to Find the LCM of 932 and 937?
Answer:
Least Common Multiple of 932 and 937 = 873284
Step 1: Find the prime factorization of 932
932 = 2 x 2 x 233
Step 2: Find the prime factorization of 937
937 = 937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 873284 = 2 x 2 x 233 x 937
Step 4: Therefore, the least common multiple of 932 and 937 is 873284.