Least Common Multiple of 2944 and 2950

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 2950 the smallest integer that is 4342400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2944 and 2950 is 4342400.

LCM(2944,2950) = 4342400

LCM of 2944 and 2950

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

LCM of:
and

Least Common Multiple of 2944 and 2950

LCM of 2944 and 2950 is 4342400

Least common multiple can be found by multiplying the highest exponent prime factors of 2944 and 2950. First we will calculate the prime factors of 2944 and 2950.

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 2950


2 2950
5 1475
5 295
59 59
1

Prime factors of 2950 are 2, 5,59. Prime factorization of 2950 in exponential form is:

2950 = 21×52×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2944 and 2950.

LCM(2944,2950) = 27×52×231×591
LCM(2944,2950) = 4342400

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 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950

Least Common Multiple of 2944 and 2950 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 2950, than apply into the LCM equation.

GCF(2944,2950) = 2
LCM(2944,2950) = ( 2944 × 2950) / 2
LCM(2944,2950) = 8684800 / 2
LCM(2944,2950) = 4342400

Properties of LCM 2944 and 2950

(i) The LCM of 2950 and 2944 is associative

LCM of 2944 and 2950 = LCM of 2950 and 2944

Related Least Common Multiples of 2944

Related Least Common Multiples of 2950

Frequently Asked Questions on LCM of 2944 and 2950

1. What is the LCM of 2944 and 2950?

Answer: LCM of 2944 and 2950 is 4342400.

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 2950?

Answer: Factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950. There are 12 integers that are factors of 2950. The greatest factor of 2950 is 2950.

4. How to Find the LCM of 2944 and 2950?

Answer:

Least Common Multiple of 2944 and 2950 = 4342400

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 2950

2950 = 2 x 5 x 5 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 = 4342400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 23 x 59

Step 4: Therefore, the least common multiple of 2944 and 2950 is 4342400.