What is the Least Common Multiple of 62564 and 62577?

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 62564 and 62577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62564 and 62577, than apply into the LCM equation.

GCF(62564,62577) = 1
LCM(62564,62577) = ( 62564 × 62577) / 1
LCM(62564,62577) = 3915067428 / 1
LCM(62564,62577) = 3915067428

Least Common Multiple (LCM) of 62564 and 62577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62564 and 62577. First we will calculate the prime factors of 62564 and 62577.

Prime Factorization of 62564

Prime Factorization of 62577

Now multiplying the highest exponent prime factors to calculate the LCM of 62564 and 62577.

LCM(62564,62577) = 2² × 15641¹ × 3² × 17¹ × 409¹
LCM(62564,62577) = 3915067428