What is the Least Common Multiple of 32624 and 32640?

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 32624 and 32640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32624 and 32640, than apply into the LCM equation.

GCF(32624,32640) = 16
LCM(32624,32640) = ( 32624 × 32640) / 16
LCM(32624,32640) = 1064847360 / 16
LCM(32624,32640) = 66552960

Least Common Multiple (LCM) of 32624 and 32640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32624 and 32640. First we will calculate the prime factors of 32624 and 32640.

Prime Factorization of 32624

Prime Factorization of 32640

Now multiplying the highest exponent prime factors to calculate the LCM of 32624 and 32640.

LCM(32624,32640) = 2⁷ × 2039¹ × 3¹ × 5¹ × 17¹
LCM(32624,32640) = 66552960