What is the Least Common Multiple of 83608 and 83627?

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 83608 and 83627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83608 and 83627, than apply into the LCM equation.

GCF(83608,83627) = 1
LCM(83608,83627) = ( 83608 × 83627) / 1
LCM(83608,83627) = 6991886216 / 1
LCM(83608,83627) = 6991886216

Least Common Multiple (LCM) of 83608 and 83627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83608 and 83627. First we will calculate the prime factors of 83608 and 83627.

Prime Factorization of 83608

Prime Factorization of 83627

Now multiplying the highest exponent prime factors to calculate the LCM of 83608 and 83627.

LCM(83608,83627) = 2³ × 7¹ × 1493¹ × 241¹ × 347¹
LCM(83608,83627) = 6991886216