What is the Least Common Multiple of 64080 and 64096?

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 64080 and 64096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64080 and 64096, than apply into the LCM equation.

GCF(64080,64096) = 16
LCM(64080,64096) = ( 64080 × 64096) / 16
LCM(64080,64096) = 4107271680 / 16
LCM(64080,64096) = 256704480

Least Common Multiple (LCM) of 64080 and 64096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64080 and 64096. First we will calculate the prime factors of 64080 and 64096.

Prime Factorization of 64080

Prime Factorization of 64096

Now multiplying the highest exponent prime factors to calculate the LCM of 64080 and 64096.

LCM(64080,64096) = 2⁵ × 3² × 5¹ × 89¹ × 2003¹
LCM(64080,64096) = 256704480