Least Common Multiple of 932 and 936

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 936 the smallest integer that is 218088 that is divisible by both numbers.

Least Common Multiple (LCM) of 932 and 936 is 218088.

LCM(932,936) = 218088

LCM of 932 and 936

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

LCM of:
and

Least Common Multiple of 932 and 936

LCM of 932 and 936 is 218088

Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 936. First we will calculate the prime factors of 932 and 936.

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 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2, 3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 936.

LCM(932,936) = 23×32×131×2331
LCM(932,936) = 218088

Factors of 932

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

1, 2, 4, 233, 466, 932

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Least Common Multiple of 932 and 936 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 936, than apply into the LCM equation.

GCF(932,936) = 4
LCM(932,936) = ( 932 × 936) / 4
LCM(932,936) = 872352 / 4
LCM(932,936) = 218088

Properties of LCM 932 and 936

(i) The LCM of 936 and 932 is associative

LCM of 932 and 936 = LCM of 936 and 932

Related Least Common Multiples of 932

Related Least Common Multiples of 936

Frequently Asked Questions on LCM of 932 and 936

1. What is the LCM of 932 and 936?

Answer: LCM of 932 and 936 is 218088.

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 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

4. How to Find the LCM of 932 and 936?

Answer:

Least Common Multiple of 932 and 936 = 218088

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

Step 2: Find the prime factorization of 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 218088 = 2 x 2 x 2 x 3 x 3 x 13 x 233

Step 4: Therefore, the least common multiple of 932 and 936 is 218088.