What is the Least Common Multiple of 15675 and 15684?

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 15675 and 15684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15675 and 15684, than apply into the LCM equation.

GCF(15675,15684) = 3
LCM(15675,15684) = ( 15675 × 15684) / 3
LCM(15675,15684) = 245846700 / 3
LCM(15675,15684) = 81948900

Least Common Multiple (LCM) of 15675 and 15684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15675 and 15684. First we will calculate the prime factors of 15675 and 15684.

Prime Factorization of 15675

Prime Factorization of 15684

Now multiplying the highest exponent prime factors to calculate the LCM of 15675 and 15684.

LCM(15675,15684) = 3¹ × 5² × 11¹ × 19¹ × 2² × 1307¹
LCM(15675,15684) = 81948900