Least Common Multiple of 2972 and 2980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2972 and 2980 the smallest integer that is 2214140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2972 and 2980 is 2214140.

LCM(2972,2980) = 2214140

LCM of 2972 and 2980

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

LCM of:
and

Least Common Multiple of 2972 and 2980

LCM of 2972 and 2980 is 2214140

Least common multiple can be found by multiplying the highest exponent prime factors of 2972 and 2980. First we will calculate the prime factors of 2972 and 2980.

Prime Factorization of 2972


2 2972
2 1486
743 743
1

Prime factors of 2972 are 2,743. Prime factorization of 2972 in exponential form is:

2972 = 22×7431

Prime Factorization of 2980


2 2980
2 1490
5 745
149 149
1

Prime factors of 2980 are 2, 5,149. Prime factorization of 2980 in exponential form is:

2980 = 22×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2972 and 2980.

LCM(2972,2980) = 22×51×1491×7431
LCM(2972,2980) = 2214140

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1, 2, 4, 743, 1486, 2972

Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980

Least Common Multiple of 2972 and 2980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2972 and 2980, than apply into the LCM equation.

GCF(2972,2980) = 4
LCM(2972,2980) = ( 2972 × 2980) / 4
LCM(2972,2980) = 8856560 / 4
LCM(2972,2980) = 2214140

Properties of LCM 2972 and 2980

(i) The LCM of 2980 and 2972 is associative

LCM of 2972 and 2980 = LCM of 2980 and 2972

Related Least Common Multiples of 2972

Related Least Common Multiples of 2980

Frequently Asked Questions on LCM of 2972 and 2980

1. What is the LCM of 2972 and 2980?

Answer: LCM of 2972 and 2980 is 2214140.

2. What are the Factors of 2972?

Answer: Factors of 2972 are 1, 2, 4, 743, 1486, 2972. There are 6 integers that are factors of 2972. The greatest factor of 2972 is 2972.

3. What are the Factors of 2980?

Answer: Factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980. There are 12 integers that are factors of 2980. The greatest factor of 2980 is 2980.

4. How to Find the LCM of 2972 and 2980?

Answer:

Least Common Multiple of 2972 and 2980 = 2214140

Step 1: Find the prime factorization of 2972

2972 = 2 x 2 x 743

Step 2: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

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

LCM = 2214140 = 2 x 2 x 5 x 149 x 743

Step 4: Therefore, the least common multiple of 2972 and 2980 is 2214140.