What is the Least Common Multiple of 15702 and 15718?

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 15702 and 15718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15702 and 15718, than apply into the LCM equation.

GCF(15702,15718) = 2
LCM(15702,15718) = ( 15702 × 15718) / 2
LCM(15702,15718) = 246804036 / 2
LCM(15702,15718) = 123402018

Least Common Multiple (LCM) of 15702 and 15718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15702 and 15718. First we will calculate the prime factors of 15702 and 15718.

Prime Factorization of 15702

Prime Factorization of 15718

Now multiplying the highest exponent prime factors to calculate the LCM of 15702 and 15718.

LCM(15702,15718) = 2¹ × 3¹ × 2617¹ × 29¹ × 271¹
LCM(15702,15718) = 123402018