What is the Least Common Multiple of 32608 and 32628?

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 32608 and 32628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32608 and 32628, than apply into the LCM equation.

GCF(32608,32628) = 4
LCM(32608,32628) = ( 32608 × 32628) / 4
LCM(32608,32628) = 1063933824 / 4
LCM(32608,32628) = 265983456

Least Common Multiple (LCM) of 32608 and 32628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32608 and 32628. First we will calculate the prime factors of 32608 and 32628.

Prime Factorization of 32608

Prime Factorization of 32628

Now multiplying the highest exponent prime factors to calculate the LCM of 32608 and 32628.

LCM(32608,32628) = 2⁵ × 1019¹ × 3¹ × 2719¹
LCM(32608,32628) = 265983456