What is the Least Common Multiple of 58548 and 58563?

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 58548 and 58563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58548 and 58563, than apply into the LCM equation.

GCF(58548,58563) = 3
LCM(58548,58563) = ( 58548 × 58563) / 3
LCM(58548,58563) = 3428746524 / 3
LCM(58548,58563) = 1142915508

Least Common Multiple (LCM) of 58548 and 58563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58548 and 58563. First we will calculate the prime factors of 58548 and 58563.

Prime Factorization of 58548

Prime Factorization of 58563

Now multiplying the highest exponent prime factors to calculate the LCM of 58548 and 58563.

LCM(58548,58563) = 2² × 3⁵ × 7¹ × 17¹ × 41¹ × 241¹
LCM(58548,58563) = 1142915508