What is the Least Common Multiple of 32664 and 32679?

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 32664 and 32679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32664 and 32679, than apply into the LCM equation.

GCF(32664,32679) = 3
LCM(32664,32679) = ( 32664 × 32679) / 3
LCM(32664,32679) = 1067426856 / 3
LCM(32664,32679) = 355808952

Least Common Multiple (LCM) of 32664 and 32679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32664 and 32679. First we will calculate the prime factors of 32664 and 32679.

Prime Factorization of 32664

Prime Factorization of 32679

Now multiplying the highest exponent prime factors to calculate the LCM of 32664 and 32679.

LCM(32664,32679) = 2³ × 3² × 1361¹ × 3631¹
LCM(32664,32679) = 355808952