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What is the Least Common Multiple of 2980 and 2991?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2980 and 2991 is 8913180.

LCM(2980,2991) = 8913180

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Least Common Multiple of 2980 and 2991 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 2991, than apply into the LCM equation.

GCF(2980,2991) = 1
LCM(2980,2991) = ( 2980 × 2991) / 1
LCM(2980,2991) = 8913180 / 1
LCM(2980,2991) = 8913180

Least Common Multiple (LCM) of 2980 and 2991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2991. First we will calculate the prime factors of 2980 and 2991.

Prime Factorization of 2980

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

2980 = 22 × 51 × 1491

Prime Factorization of 2991

Prime factors of 2991 are 3, 997. Prime factorization of 2991 in exponential form is:

2991 = 31 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2991.

LCM(2980,2991) = 22 × 51 × 1491 × 31 × 9971
LCM(2980,2991) = 8913180