What is the Least Common Multiple of 87684 and 87697?

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 87684 and 87697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87684 and 87697, than apply into the LCM equation.

GCF(87684,87697) = 1
LCM(87684,87697) = ( 87684 × 87697) / 1
LCM(87684,87697) = 7689623748 / 1
LCM(87684,87697) = 7689623748

Least Common Multiple (LCM) of 87684 and 87697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87684 and 87697. First we will calculate the prime factors of 87684 and 87697.

Prime Factorization of 87684

Prime Factorization of 87697

Now multiplying the highest exponent prime factors to calculate the LCM of 87684 and 87697.

LCM(87684,87697) = 2² × 3¹ × 7307¹ × 87697¹
LCM(87684,87697) = 7689623748