What is the Least Common Multiple of 64650 and 64665?

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 64650 and 64665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64650 and 64665, than apply into the LCM equation.

GCF(64650,64665) = 15
LCM(64650,64665) = ( 64650 × 64665) / 15
LCM(64650,64665) = 4180592250 / 15
LCM(64650,64665) = 278706150

Least Common Multiple (LCM) of 64650 and 64665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64650 and 64665. First we will calculate the prime factors of 64650 and 64665.

Prime Factorization of 64650

Prime Factorization of 64665

Now multiplying the highest exponent prime factors to calculate the LCM of 64650 and 64665.

LCM(64650,64665) = 2¹ × 3³ × 5² × 431¹ × 479¹
LCM(64650,64665) = 278706150