What is the Least Common Multiple of 61664 and 61675?

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 61664 and 61675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61664 and 61675, than apply into the LCM equation.

GCF(61664,61675) = 1
LCM(61664,61675) = ( 61664 × 61675) / 1
LCM(61664,61675) = 3803127200 / 1
LCM(61664,61675) = 3803127200

Least Common Multiple (LCM) of 61664 and 61675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61664 and 61675. First we will calculate the prime factors of 61664 and 61675.

Prime Factorization of 61664

Prime Factorization of 61675

Now multiplying the highest exponent prime factors to calculate the LCM of 61664 and 61675.

LCM(61664,61675) = 2⁵ × 41¹ × 47¹ × 5² × 2467¹
LCM(61664,61675) = 3803127200