What is the Least Common Multiple of 83148 and 83168?

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 83148 and 83168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83148 and 83168, than apply into the LCM equation.

GCF(83148,83168) = 4
LCM(83148,83168) = ( 83148 × 83168) / 4
LCM(83148,83168) = 6915252864 / 4
LCM(83148,83168) = 1728813216

Least Common Multiple (LCM) of 83148 and 83168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83148 and 83168. First we will calculate the prime factors of 83148 and 83168.

Prime Factorization of 83148

Prime Factorization of 83168

Now multiplying the highest exponent prime factors to calculate the LCM of 83148 and 83168.

LCM(83148,83168) = 2⁵ × 3¹ × 13² × 41¹ × 23¹ × 113¹
LCM(83148,83168) = 1728813216