What is the Least Common Multiple of 80112 and 80130?

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 80112 and 80130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80112 and 80130, than apply into the LCM equation.

GCF(80112,80130) = 6
LCM(80112,80130) = ( 80112 × 80130) / 6
LCM(80112,80130) = 6419374560 / 6
LCM(80112,80130) = 1069895760

Least Common Multiple (LCM) of 80112 and 80130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80112 and 80130. First we will calculate the prime factors of 80112 and 80130.

Prime Factorization of 80112

Prime Factorization of 80130

Now multiplying the highest exponent prime factors to calculate the LCM of 80112 and 80130.

LCM(80112,80130) = 2⁴ × 3¹ × 1669¹ × 5¹ × 2671¹
LCM(80112,80130) = 1069895760