What is the Least Common Multiple of 8715 and 8724?

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 8715 and 8724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8715 and 8724, than apply into the LCM equation.

GCF(8715,8724) = 3
LCM(8715,8724) = ( 8715 × 8724) / 3
LCM(8715,8724) = 76029660 / 3
LCM(8715,8724) = 25343220

Least Common Multiple (LCM) of 8715 and 8724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8715 and 8724. First we will calculate the prime factors of 8715 and 8724.

Prime Factorization of 8715

Prime Factorization of 8724

Now multiplying the highest exponent prime factors to calculate the LCM of 8715 and 8724.

LCM(8715,8724) = 3¹ × 5¹ × 7¹ × 83¹ × 2² × 727¹
LCM(8715,8724) = 25343220