What is the Least Common Multiple of 58563 and 58572?

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 58563 and 58572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58563 and 58572, than apply into the LCM equation.

GCF(58563,58572) = 9
LCM(58563,58572) = ( 58563 × 58572) / 9
LCM(58563,58572) = 3430152036 / 9
LCM(58563,58572) = 381128004

Least Common Multiple (LCM) of 58563 and 58572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58563 and 58572. First we will calculate the prime factors of 58563 and 58572.

Prime Factorization of 58563

Prime Factorization of 58572

Now multiplying the highest exponent prime factors to calculate the LCM of 58563 and 58572.

LCM(58563,58572) = 3⁵ × 241¹ × 2² × 1627¹
LCM(58563,58572) = 381128004