Least Common Multiple of 2944 and 2951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2944 and 2951 the smallest integer that is 8687744 that is divisible by both numbers.

Least Common Multiple (LCM) of 2944 and 2951 is 8687744.

LCM(2944,2951) = 8687744

LCM of 2944 and 2951

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

LCM of:
and

Least Common Multiple of 2944 and 2951

LCM of 2944 and 2951 is 8687744

Least common multiple can be found by multiplying the highest exponent prime factors of 2944 and 2951. First we will calculate the prime factors of 2944 and 2951.

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

Prime Factorization of 2951


13 2951
227 227
1

Prime factors of 2951 are 13,227. Prime factorization of 2951 in exponential form is:

2951 = 131×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2944 and 2951.

LCM(2944,2951) = 27×131×231×2271
LCM(2944,2951) = 8687744

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

Factors of 2951

List of positive integer factors of 2951 that divides 2951 without a remainder.

1, 13, 227, 2951

Least Common Multiple of 2944 and 2951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2944 and 2951, than apply into the LCM equation.

GCF(2944,2951) = 1
LCM(2944,2951) = ( 2944 × 2951) / 1
LCM(2944,2951) = 8687744 / 1
LCM(2944,2951) = 8687744

Properties of LCM 2944 and 2951

(i) The LCM of 2951 and 2944 is associative

LCM of 2944 and 2951 = LCM of 2951 and 2944

Related Least Common Multiples of 2944

Related Least Common Multiples of 2951

Frequently Asked Questions on LCM of 2944 and 2951

1. What is the LCM of 2944 and 2951?

Answer: LCM of 2944 and 2951 is 8687744.

2. 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.

3. What are the Factors of 2951?

Answer: Factors of 2951 are 1, 13, 227, 2951. There are 4 integers that are factors of 2951. The greatest factor of 2951 is 2951.

4. How to Find the LCM of 2944 and 2951?

Answer:

Least Common Multiple of 2944 and 2951 = 8687744

Step 1: Find the prime factorization of 2944

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

Step 2: Find the prime factorization of 2951

2951 = 13 x 227

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

LCM = 8687744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 23 x 227

Step 4: Therefore, the least common multiple of 2944 and 2951 is 8687744.