What is the Least Common Multiple of 15684 and 15702?

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 15702 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 15702, than apply into the LCM equation.

GCF(15684,15702) = 6
LCM(15684,15702) = ( 15684 × 15702) / 6
LCM(15684,15702) = 246270168 / 6
LCM(15684,15702) = 41045028

Least Common Multiple (LCM) of 15684 and 15702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15684 and 15702. First we will calculate the prime factors of 15684 and 15702.

Prime Factorization of 15684

Prime Factorization of 15702

Now multiplying the highest exponent prime factors to calculate the LCM of 15684 and 15702.

LCM(15684,15702) = 2² × 3¹ × 1307¹ × 2617¹
LCM(15684,15702) = 41045028