What is the Least Common Multiple of 64386 and 64401?

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 64386 and 64401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64386 and 64401, than apply into the LCM equation.

GCF(64386,64401) = 3
LCM(64386,64401) = ( 64386 × 64401) / 3
LCM(64386,64401) = 4146522786 / 3
LCM(64386,64401) = 1382174262

Least Common Multiple (LCM) of 64386 and 64401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64386 and 64401. First we will calculate the prime factors of 64386 and 64401.

Prime Factorization of 64386

Prime Factorization of 64401

Now multiplying the highest exponent prime factors to calculate the LCM of 64386 and 64401.

LCM(64386,64401) = 2¹ × 3² × 7² × 73¹ × 21467¹
LCM(64386,64401) = 1382174262