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What is the Least Common Multiple of 2971 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 2971 and 2991 is 8886261.

LCM(2971,2991) = 8886261

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Least Common Multiple of 2971 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 2971 and 2991, than apply into the LCM equation.

GCF(2971,2991) = 1
LCM(2971,2991) = ( 2971 × 2991) / 1
LCM(2971,2991) = 8886261 / 1
LCM(2971,2991) = 8886261

Least Common Multiple (LCM) of 2971 and 2991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2971 and 2991. First we will calculate the prime factors of 2971 and 2991.

Prime Factorization of 2971

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

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 2971 and 2991.

LCM(2971,2991) = 29711 × 31 × 9971
LCM(2971,2991) = 8886261