Least Common Multiple of 937 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 937 and 944 the smallest integer that is 884528 that is divisible by both numbers.

Least Common Multiple (LCM) of 937 and 944 is 884528.

LCM(937,944) = 884528

LCM of 937 and 944

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

LCM of:
and

Least Common Multiple of 937 and 944

LCM of 937 and 944 is 884528

Least common multiple can be found by multiplying the highest exponent prime factors of 937 and 944. First we will calculate the prime factors of 937 and 944.

Prime Factorization of 937


937 937
1

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

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 937 and 944.

LCM(937,944) = 24×591×9371
LCM(937,944) = 884528

Factors of 937

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

1, 937

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 937 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 937 and 944, than apply into the LCM equation.

GCF(937,944) = 1
LCM(937,944) = ( 937 × 944) / 1
LCM(937,944) = 884528 / 1
LCM(937,944) = 884528

Properties of LCM 937 and 944

(i) The LCM of 944 and 937 is associative

LCM of 937 and 944 = LCM of 944 and 937

Related Least Common Multiples of 937

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 937 and 944

1. What is the LCM of 937 and 944?

Answer: LCM of 937 and 944 is 884528.

2. 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.

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 937 and 944?

Answer:

Least Common Multiple of 937 and 944 = 884528

Step 1: Find the prime factorization of 937

937 = 937

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 = 884528 = 2 x 2 x 2 x 2 x 59 x 937

Step 4: Therefore, the least common multiple of 937 and 944 is 884528.