What is the Least Common Multiple of 64608 and 64617?

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 64608 and 64617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64608 and 64617, than apply into the LCM equation.

GCF(64608,64617) = 3
LCM(64608,64617) = ( 64608 × 64617) / 3
LCM(64608,64617) = 4174775136 / 3
LCM(64608,64617) = 1391591712

Least Common Multiple (LCM) of 64608 and 64617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64608 and 64617. First we will calculate the prime factors of 64608 and 64617.

Prime Factorization of 64608

Prime Factorization of 64617

Now multiplying the highest exponent prime factors to calculate the LCM of 64608 and 64617.

LCM(64608,64617) = 2⁵ × 3¹ × 673¹ × 7¹ × 17¹ × 181¹
LCM(64608,64617) = 1391591712