Least Common Multiple of 2938 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 2938 and 2944 the smallest integer that is 4324736 that is divisible by both numbers.

Least Common Multiple (LCM) of 2938 and 2944 is 4324736.

LCM(2938,2944) = 4324736

LCM of 2938 and 2944

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

LCM of:
and

Least Common Multiple of 2938 and 2944

LCM of 2938 and 2944 is 4324736

Least common multiple can be found by multiplying the highest exponent prime factors of 2938 and 2944. First we will calculate the prime factors of 2938 and 2944.

Prime Factorization of 2938


2 2938
13 1469
113 113
1

Prime factors of 2938 are 2, 13,113. Prime factorization of 2938 in exponential form is:

2938 = 21×131×1131

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 2938 and 2944.

LCM(2938,2944) = 27×131×231×1131
LCM(2938,2944) = 4324736

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1, 2, 13, 26, 113, 226, 1469, 2938

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 2938 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 2938 and 2944, than apply into the LCM equation.

GCF(2938,2944) = 2
LCM(2938,2944) = ( 2938 × 2944) / 2
LCM(2938,2944) = 8649472 / 2
LCM(2938,2944) = 4324736

Properties of LCM 2938 and 2944

(i) The LCM of 2944 and 2938 is associative

LCM of 2938 and 2944 = LCM of 2944 and 2938

Related Least Common Multiples of 2938

Related Least Common Multiples of 2944

Frequently Asked Questions on LCM of 2938 and 2944

1. What is the LCM of 2938 and 2944?

Answer: LCM of 2938 and 2944 is 4324736.

2. What are the Factors of 2938?

Answer: Factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938. There are 8 integers that are factors of 2938. The greatest factor of 2938 is 2938.

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 2938 and 2944?

Answer:

Least Common Multiple of 2938 and 2944 = 4324736

Step 1: Find the prime factorization of 2938

2938 = 2 x 13 x 113

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 = 4324736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 23 x 113

Step 4: Therefore, the least common multiple of 2938 and 2944 is 4324736.