What is the Least Common Multiple of 32160 and 32176?

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 32160 and 32176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32160 and 32176, than apply into the LCM equation.

GCF(32160,32176) = 16
LCM(32160,32176) = ( 32160 × 32176) / 16
LCM(32160,32176) = 1034780160 / 16
LCM(32160,32176) = 64673760

Least Common Multiple (LCM) of 32160 and 32176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32160 and 32176. First we will calculate the prime factors of 32160 and 32176.

Prime Factorization of 32160

Prime Factorization of 32176

Now multiplying the highest exponent prime factors to calculate the LCM of 32160 and 32176.

LCM(32160,32176) = 2⁵ × 3¹ × 5¹ × 67¹ × 2011¹
LCM(32160,32176) = 64673760