Least Common Multiple of 936 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 936 and 937 the smallest integer that is 877032 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 937 is 877032.

LCM(936,937) = 877032

LCM of 936 and 937

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

LCM of:
and

Least Common Multiple of 936 and 937

LCM of 936 and 937 is 877032

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 937. First we will calculate the prime factors of 936 and 937.

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

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 936 and 937.

LCM(936,937) = 23×32×131×9371
LCM(936,937) = 877032

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

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1, 937

Least Common Multiple of 936 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 936 and 937, than apply into the LCM equation.

GCF(936,937) = 1
LCM(936,937) = ( 936 × 937) / 1
LCM(936,937) = 877032 / 1
LCM(936,937) = 877032

Properties of LCM 936 and 937

(i) The LCM of 937 and 936 is associative

LCM of 936 and 937 = LCM of 937 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 937

Frequently Asked Questions on LCM of 936 and 937

1. What is the LCM of 936 and 937?

Answer: LCM of 936 and 937 is 877032.

2. 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.

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 936 and 937?

Answer:

Least Common Multiple of 936 and 937 = 877032

Step 1: Find the prime factorization of 936

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

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 = 877032 = 2 x 2 x 2 x 3 x 3 x 13 x 937

Step 4: Therefore, the least common multiple of 936 and 937 is 877032.