What is the Least Common Multiple of 32997 and 33012?

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 32997 and 33012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32997 and 33012, than apply into the LCM equation.

GCF(32997,33012) = 3
LCM(32997,33012) = ( 32997 × 33012) / 3
LCM(32997,33012) = 1089296964 / 3
LCM(32997,33012) = 363098988

Least Common Multiple (LCM) of 32997 and 33012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32997 and 33012. First we will calculate the prime factors of 32997 and 33012.

Prime Factorization of 32997

Prime Factorization of 33012

Now multiplying the highest exponent prime factors to calculate the LCM of 32997 and 33012.

LCM(32997,33012) = 3² × 17¹ × 647¹ × 2² × 7¹ × 131¹
LCM(32997,33012) = 363098988