What is the Least Common Multiple of 87716 and 87732?

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 87716 and 87732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87716 and 87732, than apply into the LCM equation.

GCF(87716,87732) = 4
LCM(87716,87732) = ( 87716 × 87732) / 4
LCM(87716,87732) = 7695500112 / 4
LCM(87716,87732) = 1923875028

Least Common Multiple (LCM) of 87716 and 87732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87716 and 87732. First we will calculate the prime factors of 87716 and 87732.

Prime Factorization of 87716

Prime Factorization of 87732

Now multiplying the highest exponent prime factors to calculate the LCM of 87716 and 87732.

LCM(87716,87732) = 2² × 21929¹ × 3² × 2437¹
LCM(87716,87732) = 1923875028