What is the Least Common Multiple of 15684 and 15699?

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 15684 and 15699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15684 and 15699, than apply into the LCM equation.

GCF(15684,15699) = 3
LCM(15684,15699) = ( 15684 × 15699) / 3
LCM(15684,15699) = 246223116 / 3
LCM(15684,15699) = 82074372

Least Common Multiple (LCM) of 15684 and 15699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15684 and 15699. First we will calculate the prime factors of 15684 and 15699.

Prime Factorization of 15684

Prime Factorization of 15699

Now multiplying the highest exponent prime factors to calculate the LCM of 15684 and 15699.

LCM(15684,15699) = 2² × 3¹ × 1307¹ × 5233¹
LCM(15684,15699) = 82074372