Least Common Multiple of 2980 and 2987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2980 and 2987 the smallest integer that is 8901260 that is divisible by both numbers.

Least Common Multiple (LCM) of 2980 and 2987 is 8901260.

LCM(2980,2987) = 8901260

LCM of 2980 and 2987

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

LCM of:
and

Least Common Multiple of 2980 and 2987

LCM of 2980 and 2987 is 8901260

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2987. First we will calculate the prime factors of 2980 and 2987.

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

Prime Factorization of 2987


29 2987
103 103
1

Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:

2987 = 291×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2987.

LCM(2980,2987) = 22×51×291×1031×1491
LCM(2980,2987) = 8901260

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

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1, 29, 103, 2987

Least Common Multiple of 2980 and 2987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2980 and 2987, than apply into the LCM equation.

GCF(2980,2987) = 1
LCM(2980,2987) = ( 2980 × 2987) / 1
LCM(2980,2987) = 8901260 / 1
LCM(2980,2987) = 8901260

Properties of LCM 2980 and 2987

(i) The LCM of 2987 and 2980 is associative

LCM of 2980 and 2987 = LCM of 2987 and 2980

Related Least Common Multiples of 2980

Related Least Common Multiples of 2987

Frequently Asked Questions on LCM of 2980 and 2987

1. What is the LCM of 2980 and 2987?

Answer: LCM of 2980 and 2987 is 8901260.

2. 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.

3. What are the Factors of 2987?

Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.

4. How to Find the LCM of 2980 and 2987?

Answer:

Least Common Multiple of 2980 and 2987 = 8901260

Step 1: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 2987

2987 = 29 x 103

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

LCM = 8901260 = 2 x 2 x 5 x 29 x 103 x 149

Step 4: Therefore, the least common multiple of 2980 and 2987 is 8901260.