What is the Least Common Multiple of 58572 and 58587?

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 58572 and 58587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58572 and 58587, than apply into the LCM equation.

GCF(58572,58587) = 3
LCM(58572,58587) = ( 58572 × 58587) / 3
LCM(58572,58587) = 3431557764 / 3
LCM(58572,58587) = 1143852588

Least Common Multiple (LCM) of 58572 and 58587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58572 and 58587. First we will calculate the prime factors of 58572 and 58587.

Prime Factorization of 58572

Prime Factorization of 58587

Now multiplying the highest exponent prime factors to calculate the LCM of 58572 and 58587.

LCM(58572,58587) = 2² × 3² × 1627¹ × 59¹ × 331¹
LCM(58572,58587) = 1143852588