What is the Least Common Multiple of 15576 and 15588?

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 15576 and 15588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15576 and 15588, than apply into the LCM equation.

GCF(15576,15588) = 12
LCM(15576,15588) = ( 15576 × 15588) / 12
LCM(15576,15588) = 242798688 / 12
LCM(15576,15588) = 20233224

Least Common Multiple (LCM) of 15576 and 15588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15576 and 15588. First we will calculate the prime factors of 15576 and 15588.

Prime Factorization of 15576

Prime Factorization of 15588

Now multiplying the highest exponent prime factors to calculate the LCM of 15576 and 15588.

LCM(15576,15588) = 2³ × 3² × 11¹ × 59¹ × 433¹
LCM(15576,15588) = 20233224