Least Common Multiple of 936 and 944

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 944 the smallest integer that is 110448 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 944 is 110448.

LCM(936,944) = 110448

LCM of 936 and 944

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

LCM of:
and

Least Common Multiple of 936 and 944

LCM of 936 and 944 is 110448

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 944. First we will calculate the prime factors of 936 and 944.

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 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 944.

LCM(936,944) = 24×32×131×591
LCM(936,944) = 110448

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 944

List of positive integer factors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Least Common Multiple of 936 and 944 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 944, than apply into the LCM equation.

GCF(936,944) = 8
LCM(936,944) = ( 936 × 944) / 8
LCM(936,944) = 883584 / 8
LCM(936,944) = 110448

Properties of LCM 936 and 944

(i) The LCM of 944 and 936 is associative

LCM of 936 and 944 = LCM of 944 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 936 and 944

1. What is the LCM of 936 and 944?

Answer: LCM of 936 and 944 is 110448.

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 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

4. How to Find the LCM of 936 and 944?

Answer:

Least Common Multiple of 936 and 944 = 110448

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 944

944 = 2 x 2 x 2 x 2 x 59

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

LCM = 110448 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 59

Step 4: Therefore, the least common multiple of 936 and 944 is 110448.