Least Common Multiple of 2932 and 2938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2932 and 2938 the smallest integer that is 4307108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2932 and 2938 is 4307108.

LCM(2932,2938) = 4307108

LCM of 2932 and 2938

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

LCM of:
and

Least Common Multiple of 2932 and 2938

LCM of 2932 and 2938 is 4307108

Least common multiple can be found by multiplying the highest exponent prime factors of 2932 and 2938. First we will calculate the prime factors of 2932 and 2938.

Prime Factorization of 2932


2 2932
2 1466
733 733
1

Prime factors of 2932 are 2,733. Prime factorization of 2932 in exponential form is:

2932 = 22×7331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2932 and 2938.

LCM(2932,2938) = 22×131×1131×7331
LCM(2932,2938) = 4307108

Factors of 2932

List of positive integer factors of 2932 that divides 2932 without a remainder.

1, 2, 4, 733, 1466, 2932

Factors of 2938

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

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

Least Common Multiple of 2932 and 2938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2932 and 2938, than apply into the LCM equation.

GCF(2932,2938) = 2
LCM(2932,2938) = ( 2932 × 2938) / 2
LCM(2932,2938) = 8614216 / 2
LCM(2932,2938) = 4307108

Properties of LCM 2932 and 2938

(i) The LCM of 2938 and 2932 is associative

LCM of 2932 and 2938 = LCM of 2938 and 2932

Related Least Common Multiples of 2932

Related Least Common Multiples of 2938

Frequently Asked Questions on LCM of 2932 and 2938

1. What is the LCM of 2932 and 2938?

Answer: LCM of 2932 and 2938 is 4307108.

2. What are the Factors of 2932?

Answer: Factors of 2932 are 1, 2, 4, 733, 1466, 2932. There are 6 integers that are factors of 2932. The greatest factor of 2932 is 2932.

3. 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.

4. How to Find the LCM of 2932 and 2938?

Answer:

Least Common Multiple of 2932 and 2938 = 4307108

Step 1: Find the prime factorization of 2932

2932 = 2 x 2 x 733

Step 2: Find the prime factorization of 2938

2938 = 2 x 13 x 113

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

LCM = 4307108 = 2 x 2 x 13 x 113 x 733

Step 4: Therefore, the least common multiple of 2932 and 2938 is 4307108.