What is the Least Common Multiple of 83100 and 83112?

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 83100 and 83112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83100 and 83112, than apply into the LCM equation.

GCF(83100,83112) = 12
LCM(83100,83112) = ( 83100 × 83112) / 12
LCM(83100,83112) = 6906607200 / 12
LCM(83100,83112) = 575550600

Least Common Multiple (LCM) of 83100 and 83112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83100 and 83112. First we will calculate the prime factors of 83100 and 83112.

Prime Factorization of 83100

Prime Factorization of 83112

Now multiplying the highest exponent prime factors to calculate the LCM of 83100 and 83112.

LCM(83100,83112) = 2³ × 3¹ × 5² × 277¹ × 3463¹
LCM(83100,83112) = 575550600