What is the Least Common Multiple of 64710 and 64725?

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 64710 and 64725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64710 and 64725, than apply into the LCM equation.

GCF(64710,64725) = 15
LCM(64710,64725) = ( 64710 × 64725) / 15
LCM(64710,64725) = 4188354750 / 15
LCM(64710,64725) = 279223650

Least Common Multiple (LCM) of 64710 and 64725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64710 and 64725. First we will calculate the prime factors of 64710 and 64725.

Prime Factorization of 64710

Prime Factorization of 64725

Now multiplying the highest exponent prime factors to calculate the LCM of 64710 and 64725.

LCM(64710,64725) = 2¹ × 3² × 5² × 719¹ × 863¹
LCM(64710,64725) = 279223650