What is the Least Common Multiple of 86664 and 86679?

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 86664 and 86679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86664 and 86679, than apply into the LCM equation.

GCF(86664,86679) = 3
LCM(86664,86679) = ( 86664 × 86679) / 3
LCM(86664,86679) = 7511948856 / 3
LCM(86664,86679) = 2503982952

Least Common Multiple (LCM) of 86664 and 86679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86664 and 86679. First we will calculate the prime factors of 86664 and 86679.

Prime Factorization of 86664

Prime Factorization of 86679

Now multiplying the highest exponent prime factors to calculate the LCM of 86664 and 86679.

LCM(86664,86679) = 2³ × 3² × 23¹ × 157¹ × 9631¹
LCM(86664,86679) = 2503982952