Least Common Multiple of 2944 and 2949

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 2949 the smallest integer that is 8681856 that is divisible by both numbers.

Least Common Multiple (LCM) of 2944 and 2949 is 8681856.

LCM(2944,2949) = 8681856

LCM of 2944 and 2949

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

LCM of:
and

Least Common Multiple of 2944 and 2949

LCM of 2944 and 2949 is 8681856

Least common multiple can be found by multiplying the highest exponent prime factors of 2944 and 2949. First we will calculate the prime factors of 2944 and 2949.

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 2949


3 2949
983 983
1

Prime factors of 2949 are 3,983. Prime factorization of 2949 in exponential form is:

2949 = 31×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 2944 and 2949.

LCM(2944,2949) = 27×31×231×9831
LCM(2944,2949) = 8681856

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 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1, 3, 983, 2949

Least Common Multiple of 2944 and 2949 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 2949, than apply into the LCM equation.

GCF(2944,2949) = 1
LCM(2944,2949) = ( 2944 × 2949) / 1
LCM(2944,2949) = 8681856 / 1
LCM(2944,2949) = 8681856

Properties of LCM 2944 and 2949

(i) The LCM of 2949 and 2944 is associative

LCM of 2944 and 2949 = LCM of 2949 and 2944

Related Least Common Multiples of 2944

Related Least Common Multiples of 2949

Frequently Asked Questions on LCM of 2944 and 2949

1. What is the LCM of 2944 and 2949?

Answer: LCM of 2944 and 2949 is 8681856.

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 2949?

Answer: Factors of 2949 are 1, 3, 983, 2949. There are 4 integers that are factors of 2949. The greatest factor of 2949 is 2949.

4. How to Find the LCM of 2944 and 2949?

Answer:

Least Common Multiple of 2944 and 2949 = 8681856

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 2949

2949 = 3 x 983

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

LCM = 8681856 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 983

Step 4: Therefore, the least common multiple of 2944 and 2949 is 8681856.