What is the Least Common Multiple of 83112 and 83130?

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 83112 and 83130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83112 and 83130, than apply into the LCM equation.

GCF(83112,83130) = 6
LCM(83112,83130) = ( 83112 × 83130) / 6
LCM(83112,83130) = 6909100560 / 6
LCM(83112,83130) = 1151516760

Least Common Multiple (LCM) of 83112 and 83130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83112 and 83130. First we will calculate the prime factors of 83112 and 83130.

Prime Factorization of 83112

Prime Factorization of 83130

Now multiplying the highest exponent prime factors to calculate the LCM of 83112 and 83130.

LCM(83112,83130) = 2³ × 3¹ × 3463¹ × 5¹ × 17¹ × 163¹
LCM(83112,83130) = 1151516760