What is the Least Common Multiple of 64075 and 64080?

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 64075 and 64080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64075 and 64080, than apply into the LCM equation.

GCF(64075,64080) = 5
LCM(64075,64080) = ( 64075 × 64080) / 5
LCM(64075,64080) = 4105926000 / 5
LCM(64075,64080) = 821185200

Least Common Multiple (LCM) of 64075 and 64080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64075 and 64080. First we will calculate the prime factors of 64075 and 64080.

Prime Factorization of 64075

Prime Factorization of 64080

Now multiplying the highest exponent prime factors to calculate the LCM of 64075 and 64080.

LCM(64075,64080) = 5² × 11¹ × 233¹ × 2⁴ × 3² × 89¹
LCM(64075,64080) = 821185200