Least Common Multiple of 944 and 952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 944 and 952 the smallest integer that is 112336 that is divisible by both numbers.

Least Common Multiple (LCM) of 944 and 952 is 112336.

LCM(944,952) = 112336

LCM of 944 and 952

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

LCM of:
and

Least Common Multiple of 944 and 952

LCM of 944 and 952 is 112336

Least common multiple can be found by multiplying the highest exponent prime factors of 944 and 952. First we will calculate the prime factors of 944 and 952.

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

Prime Factorization of 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 944 and 952.

LCM(944,952) = 24×71×171×591
LCM(944,952) = 112336

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

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Least Common Multiple of 944 and 952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 944 and 952, than apply into the LCM equation.

GCF(944,952) = 8
LCM(944,952) = ( 944 × 952) / 8
LCM(944,952) = 898688 / 8
LCM(944,952) = 112336

Properties of LCM 944 and 952

(i) The LCM of 952 and 944 is associative

LCM of 944 and 952 = LCM of 952 and 944

Related Least Common Multiples of 944

Related Least Common Multiples of 952

Frequently Asked Questions on LCM of 944 and 952

1. What is the LCM of 944 and 952?

Answer: LCM of 944 and 952 is 112336.

2. 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.

3. What are the Factors of 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

4. How to Find the LCM of 944 and 952?

Answer:

Least Common Multiple of 944 and 952 = 112336

Step 1: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

Step 2: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

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

LCM = 112336 = 2 x 2 x 2 x 2 x 7 x 17 x 59

Step 4: Therefore, the least common multiple of 944 and 952 is 112336.