What is the Least Common Multiple of 15684 and 15694?

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 15694 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 15694, than apply into the LCM equation.

GCF(15684,15694) = 2
LCM(15684,15694) = ( 15684 × 15694) / 2
LCM(15684,15694) = 246144696 / 2
LCM(15684,15694) = 123072348

Least Common Multiple (LCM) of 15684 and 15694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15684 and 15694. First we will calculate the prime factors of 15684 and 15694.

Prime Factorization of 15684

Prime Factorization of 15694

Now multiplying the highest exponent prime factors to calculate the LCM of 15684 and 15694.

LCM(15684,15694) = 2² × 3¹ × 1307¹ × 7¹ × 19¹ × 59¹
LCM(15684,15694) = 123072348