What is the Least Common Multiple of 83592 and 83608?

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 83592 and 83608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83592 and 83608, than apply into the LCM equation.

GCF(83592,83608) = 8
LCM(83592,83608) = ( 83592 × 83608) / 8
LCM(83592,83608) = 6988959936 / 8
LCM(83592,83608) = 873619992

Least Common Multiple (LCM) of 83592 and 83608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83592 and 83608. First we will calculate the prime factors of 83592 and 83608.

Prime Factorization of 83592

Prime Factorization of 83608

Now multiplying the highest exponent prime factors to calculate the LCM of 83592 and 83608.

LCM(83592,83608) = 2³ × 3⁵ × 43¹ × 7¹ × 1493¹
LCM(83592,83608) = 873619992