What is the Least Common Multiple of 80117 and 80126?

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 80117 and 80126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80117 and 80126, than apply into the LCM equation.

GCF(80117,80126) = 1
LCM(80117,80126) = ( 80117 × 80126) / 1
LCM(80117,80126) = 6419454742 / 1
LCM(80117,80126) = 6419454742

Least Common Multiple (LCM) of 80117 and 80126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80117 and 80126. First we will calculate the prime factors of 80117 and 80126.

Prime Factorization of 80117

Prime Factorization of 80126

Now multiplying the highest exponent prime factors to calculate the LCM of 80117 and 80126.

LCM(80117,80126) = 113¹ × 709¹ × 2¹ × 40063¹
LCM(80117,80126) = 6419454742