Least Common Multiple of 2939 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 2939 and 2940 the smallest integer that is 8640660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2939 and 2940 is 8640660.

LCM(2939,2940) = 8640660

LCM of 2939 and 2940

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

LCM of:
and

Least Common Multiple of 2939 and 2940

LCM of 2939 and 2940 is 8640660

Least common multiple can be found by multiplying the highest exponent prime factors of 2939 and 2940. First we will calculate the prime factors of 2939 and 2940.

Prime Factorization of 2939


2939 2939
1

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

2939 = 29391

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 2939 and 2940.

LCM(2939,2940) = 22×31×51×72×29391
LCM(2939,2940) = 8640660

Factors of 2939

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

1, 2939

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 2939 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 2939 and 2940, than apply into the LCM equation.

GCF(2939,2940) = 1
LCM(2939,2940) = ( 2939 × 2940) / 1
LCM(2939,2940) = 8640660 / 1
LCM(2939,2940) = 8640660

Properties of LCM 2939 and 2940

(i) The LCM of 2940 and 2939 is associative

LCM of 2939 and 2940 = LCM of 2940 and 2939

Related Least Common Multiples of 2939

Related Least Common Multiples of 2940

Frequently Asked Questions on LCM of 2939 and 2940

1. What is the LCM of 2939 and 2940?

Answer: LCM of 2939 and 2940 is 8640660.

2. 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.

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 2939 and 2940?

Answer:

Least Common Multiple of 2939 and 2940 = 8640660

Step 1: Find the prime factorization of 2939

2939 = 2939

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 = 8640660 = 2 x 2 x 3 x 5 x 7 x 7 x 2939

Step 4: Therefore, the least common multiple of 2939 and 2940 is 8640660.