What is the Least Common Multiple of 64736 and 64743?

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 64736 and 64743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64736 and 64743, than apply into the LCM equation.

GCF(64736,64743) = 7
LCM(64736,64743) = ( 64736 × 64743) / 7
LCM(64736,64743) = 4191202848 / 7
LCM(64736,64743) = 598743264

Least Common Multiple (LCM) of 64736 and 64743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64736 and 64743. First we will calculate the prime factors of 64736 and 64743.

Prime Factorization of 64736

Prime Factorization of 64743

Now multiplying the highest exponent prime factors to calculate the LCM of 64736 and 64743.

LCM(64736,64743) = 2⁵ × 7¹ × 17² × 3¹ × 3083¹
LCM(64736,64743) = 598743264