What is the Least Common Multiple of 64608 and 64621?

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 64621 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 64621, than apply into the LCM equation.

GCF(64608,64621) = 1
LCM(64608,64621) = ( 64608 × 64621) / 1
LCM(64608,64621) = 4175033568 / 1
LCM(64608,64621) = 4175033568

Least Common Multiple (LCM) of 64608 and 64621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64608 and 64621. First we will calculate the prime factors of 64608 and 64621.

Prime Factorization of 64608

Prime Factorization of 64621

Now multiplying the highest exponent prime factors to calculate the LCM of 64608 and 64621.

LCM(64608,64621) = 2⁵ × 3¹ × 673¹ × 64621¹
LCM(64608,64621) = 4175033568