What is the Least Common Multiple of 32988 and 32997?

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 32988 and 32997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32988 and 32997, than apply into the LCM equation.

GCF(32988,32997) = 3
LCM(32988,32997) = ( 32988 × 32997) / 3
LCM(32988,32997) = 1088505036 / 3
LCM(32988,32997) = 362835012

Least Common Multiple (LCM) of 32988 and 32997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32988 and 32997. First we will calculate the prime factors of 32988 and 32997.

Prime Factorization of 32988

Prime Factorization of 32997

Now multiplying the highest exponent prime factors to calculate the LCM of 32988 and 32997.

LCM(32988,32997) = 2² × 3¹ × 2749¹ × 17¹ × 647¹
LCM(32988,32997) = 362835012