Least Common Multiple of 2937 and 2944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2937 and 2944 the smallest integer that is 8646528 that is divisible by both numbers.

Least Common Multiple (LCM) of 2937 and 2944 is 8646528.

LCM(2937,2944) = 8646528

LCM of 2937 and 2944

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

LCM of:
and

Least Common Multiple of 2937 and 2944

LCM of 2937 and 2944 is 8646528

Least common multiple can be found by multiplying the highest exponent prime factors of 2937 and 2944. First we will calculate the prime factors of 2937 and 2944.

Prime Factorization of 2937


3 2937
11 979
89 89
1

Prime factors of 2937 are 3, 11,89. Prime factorization of 2937 in exponential form is:

2937 = 31×111×891

Prime Factorization of 2944


2 2944
2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 2944 are 2,23. Prime factorization of 2944 in exponential form is:

2944 = 27×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2937 and 2944.

LCM(2937,2944) = 27×31×111×231×891
LCM(2937,2944) = 8646528

Factors of 2937

List of positive integer factors of 2937 that divides 2937 without a remainder.

1, 3, 11, 33, 89, 267, 979, 2937

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944

Least Common Multiple of 2937 and 2944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2937 and 2944, than apply into the LCM equation.

GCF(2937,2944) = 1
LCM(2937,2944) = ( 2937 × 2944) / 1
LCM(2937,2944) = 8646528 / 1
LCM(2937,2944) = 8646528

Properties of LCM 2937 and 2944

(i) The LCM of 2944 and 2937 is associative

LCM of 2937 and 2944 = LCM of 2944 and 2937

Related Least Common Multiples of 2937

Related Least Common Multiples of 2944

Frequently Asked Questions on LCM of 2937 and 2944

1. What is the LCM of 2937 and 2944?

Answer: LCM of 2937 and 2944 is 8646528.

2. What are the Factors of 2937?

Answer: Factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937. There are 8 integers that are factors of 2937. The greatest factor of 2937 is 2937.

3. What are the Factors of 2944?

Answer: Factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944. There are 16 integers that are factors of 2944. The greatest factor of 2944 is 2944.

4. How to Find the LCM of 2937 and 2944?

Answer:

Least Common Multiple of 2937 and 2944 = 8646528

Step 1: Find the prime factorization of 2937

2937 = 3 x 11 x 89

Step 2: Find the prime factorization of 2944

2944 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23

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

LCM = 8646528 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 23 x 89

Step 4: Therefore, the least common multiple of 2937 and 2944 is 8646528.