What is the Least Common Multiple of 2982 and 2997?

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 of 2982 and 2997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2982 and 2997, than apply into the LCM equation.

GCF(2982,2997) = 3
LCM(2982,2997) = ( 2982 × 2997) / 3
LCM(2982,2997) = 8937054 / 3
LCM(2982,2997) = 2979018

Least Common Multiple (LCM) of 2982 and 2997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2982 and 2997. First we will calculate the prime factors of 2982 and 2997.

Prime Factorization of 2982

Prime Factorization of 2997

Now multiplying the highest exponent prime factors to calculate the LCM of 2982 and 2997.

LCM(2982,2997) = 2¹ × 3⁴ × 7¹ × 71¹ × 37¹
LCM(2982,2997) = 2979018