What is the Least Common Multiple of 8714 and 8732?

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 8714 and 8732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8714 and 8732, than apply into the LCM equation.

GCF(8714,8732) = 2
LCM(8714,8732) = ( 8714 × 8732) / 2
LCM(8714,8732) = 76090648 / 2
LCM(8714,8732) = 38045324

Least Common Multiple (LCM) of 8714 and 8732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8732. First we will calculate the prime factors of 8714 and 8732.

Prime Factorization of 8714

Prime Factorization of 8732

Now multiplying the highest exponent prime factors to calculate the LCM of 8714 and 8732.

LCM(8714,8732) = 2² × 4357¹ × 37¹ × 59¹
LCM(8714,8732) = 38045324