Least Common Multiple of 932 and 937

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

LCM of 932 and 937

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 932 and 937

LCM of 932 and 937 is 873284

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

Least Common Multiple of 932 and 937 with GCF Formula

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

Properties of LCM 932 and 937

(i) The LCM of 937 and 932 is associative

LCM of 932 and 937 = LCM of 937 and 932

Frequently Asked Questions on LCM of 932 and 937

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.