What is the Least Common Multiple of 83664 and 83679?

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 83664 and 83679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83664 and 83679, than apply into the LCM equation.

GCF(83664,83679) = 3
LCM(83664,83679) = ( 83664 × 83679) / 3
LCM(83664,83679) = 7000919856 / 3
LCM(83664,83679) = 2333639952

Least Common Multiple (LCM) of 83664 and 83679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83664 and 83679. First we will calculate the prime factors of 83664 and 83679.

Prime Factorization of 83664

Prime Factorization of 83679

Now multiplying the highest exponent prime factors to calculate the LCM of 83664 and 83679.

LCM(83664,83679) = 2⁴ × 3² × 7¹ × 83¹ × 27893¹
LCM(83664,83679) = 2333639952