Least Common Multiple of 2932 and 2939

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 2939 the smallest integer that is 8617148 that is divisible by both numbers.

Least Common Multiple (LCM) of 2932 and 2939 is 8617148.

LCM(2932,2939) = 8617148

LCM of 2932 and 2939

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

LCM of:
and

Least Common Multiple of 2932 and 2939

LCM of 2932 and 2939 is 8617148

Least common multiple can be found by multiplying the highest exponent prime factors of 2932 and 2939. First we will calculate the prime factors of 2932 and 2939.

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 2939


2939 2939
1

Prime factors of 2939 are 2939. Prime factorization of 2939 in exponential form is:

2939 = 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 2932 and 2939.

LCM(2932,2939) = 22×7331×29391
LCM(2932,2939) = 8617148

Factors of 2932

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

1, 2, 4, 733, 1466, 2932

Factors of 2939

List of positive integer factors of 2939 that divides 2939 without a remainder.

1, 2939

Least Common Multiple of 2932 and 2939 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 2939, than apply into the LCM equation.

GCF(2932,2939) = 1
LCM(2932,2939) = ( 2932 × 2939) / 1
LCM(2932,2939) = 8617148 / 1
LCM(2932,2939) = 8617148

Properties of LCM 2932 and 2939

(i) The LCM of 2939 and 2932 is associative

LCM of 2932 and 2939 = LCM of 2939 and 2932

Related Least Common Multiples of 2932

Related Least Common Multiples of 2939

Frequently Asked Questions on LCM of 2932 and 2939

1. What is the LCM of 2932 and 2939?

Answer: LCM of 2932 and 2939 is 8617148.

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 2939?

Answer: Factors of 2939 are 1, 2939. There are 2 integers that are factors of 2939. The greatest factor of 2939 is 2939.

4. How to Find the LCM of 2932 and 2939?

Answer:

Least Common Multiple of 2932 and 2939 = 8617148

Step 1: Find the prime factorization of 2932

2932 = 2 x 2 x 733

Step 2: Find the prime factorization of 2939

2939 = 2939

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

LCM = 8617148 = 2 x 2 x 733 x 2939

Step 4: Therefore, the least common multiple of 2932 and 2939 is 8617148.