Least Common Multiple of 932 and 938

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 938 the smallest integer that is 437108 that is divisible by both numbers.

Least Common Multiple (LCM) of 932 and 938 is 437108.

LCM(932,938) = 437108

LCM of 932 and 938

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

LCM of:
and

Least Common Multiple of 932 and 938

LCM of 932 and 938 is 437108

Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 938. First we will calculate the prime factors of 932 and 938.

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 938


2 938
7 469
67 67
1

Prime factors of 938 are 2, 7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 938.

LCM(932,938) = 22×71×671×2331
LCM(932,938) = 437108

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Least Common Multiple of 932 and 938 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 938, than apply into the LCM equation.

GCF(932,938) = 2
LCM(932,938) = ( 932 × 938) / 2
LCM(932,938) = 874216 / 2
LCM(932,938) = 437108

Properties of LCM 932 and 938

(i) The LCM of 938 and 932 is associative

LCM of 932 and 938 = LCM of 938 and 932

Related Least Common Multiples of 932

Related Least Common Multiples of 938

Frequently Asked Questions on LCM of 932 and 938

1. What is the LCM of 932 and 938?

Answer: LCM of 932 and 938 is 437108.

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 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

4. How to Find the LCM of 932 and 938?

Answer:

Least Common Multiple of 932 and 938 = 437108

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

Step 2: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 437108 = 2 x 2 x 7 x 67 x 233

Step 4: Therefore, the least common multiple of 932 and 938 is 437108.