What is the Least Common Multiple of 64788 and 64807?

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 64788 and 64807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64788 and 64807, than apply into the LCM equation.

GCF(64788,64807) = 1
LCM(64788,64807) = ( 64788 × 64807) / 1
LCM(64788,64807) = 4198715916 / 1
LCM(64788,64807) = 4198715916

Least Common Multiple (LCM) of 64788 and 64807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64788 and 64807. First we will calculate the prime factors of 64788 and 64807.

Prime Factorization of 64788

Prime Factorization of 64807

Now multiplying the highest exponent prime factors to calculate the LCM of 64788 and 64807.

LCM(64788,64807) = 2² × 3¹ × 5399¹ × 229¹ × 283¹
LCM(64788,64807) = 4198715916