Least Common Multiple of 2932 and 2940

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 2940 the smallest integer that is 2155020 that is divisible by both numbers.

Least Common Multiple (LCM) of 2932 and 2940 is 2155020.

LCM(2932,2940) = 2155020

LCM of 2932 and 2940

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

LCM of:
and

Least Common Multiple of 2932 and 2940

LCM of 2932 and 2940 is 2155020

Least common multiple can be found by multiplying the highest exponent prime factors of 2932 and 2940. First we will calculate the prime factors of 2932 and 2940.

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 2940


2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 2940 are 2, 3, 5,7. Prime factorization of 2940 in exponential form is:

2940 = 22×31×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2932 and 2940.

LCM(2932,2940) = 22×31×51×72×7331
LCM(2932,2940) = 2155020

Factors of 2932

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

1, 2, 4, 733, 1466, 2932

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940

Least Common Multiple of 2932 and 2940 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 2940, than apply into the LCM equation.

GCF(2932,2940) = 4
LCM(2932,2940) = ( 2932 × 2940) / 4
LCM(2932,2940) = 8620080 / 4
LCM(2932,2940) = 2155020

Properties of LCM 2932 and 2940

(i) The LCM of 2940 and 2932 is associative

LCM of 2932 and 2940 = LCM of 2940 and 2932

Related Least Common Multiples of 2932

Related Least Common Multiples of 2940

Frequently Asked Questions on LCM of 2932 and 2940

1. What is the LCM of 2932 and 2940?

Answer: LCM of 2932 and 2940 is 2155020.

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 2940?

Answer: Factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940. There are 36 integers that are factors of 2940. The greatest factor of 2940 is 2940.

4. How to Find the LCM of 2932 and 2940?

Answer:

Least Common Multiple of 2932 and 2940 = 2155020

Step 1: Find the prime factorization of 2932

2932 = 2 x 2 x 733

Step 2: Find the prime factorization of 2940

2940 = 2 x 2 x 3 x 5 x 7 x 7

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

LCM = 2155020 = 2 x 2 x 3 x 5 x 7 x 7 x 733

Step 4: Therefore, the least common multiple of 2932 and 2940 is 2155020.