What is the Least Common Multiple of 64684 and 64696?

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 64684 and 64696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64684 and 64696, than apply into the LCM equation.

GCF(64684,64696) = 4
LCM(64684,64696) = ( 64684 × 64696) / 4
LCM(64684,64696) = 4184796064 / 4
LCM(64684,64696) = 1046199016

Least Common Multiple (LCM) of 64684 and 64696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64684 and 64696. First we will calculate the prime factors of 64684 and 64696.

Prime Factorization of 64684

Prime Factorization of 64696

Now multiplying the highest exponent prime factors to calculate the LCM of 64684 and 64696.

LCM(64684,64696) = 2³ × 103¹ × 157¹ × 8087¹
LCM(64684,64696) = 1046199016