What is the Least Common Multiple of 64709 and 64727?

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 64709 and 64727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64709 and 64727, than apply into the LCM equation.

GCF(64709,64727) = 1
LCM(64709,64727) = ( 64709 × 64727) / 1
LCM(64709,64727) = 4188419443 / 1
LCM(64709,64727) = 4188419443

Least Common Multiple (LCM) of 64709 and 64727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64709 and 64727. First we will calculate the prime factors of 64709 and 64727.

Prime Factorization of 64709

Prime Factorization of 64727

Now multiplying the highest exponent prime factors to calculate the LCM of 64709 and 64727.

LCM(64709,64727) = 64709¹ × 13² × 383¹
LCM(64709,64727) = 4188419443