What is the Least Common Multiple of 80598 and 80617?

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 80598 and 80617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80598 and 80617, than apply into the LCM equation.

GCF(80598,80617) = 19
LCM(80598,80617) = ( 80598 × 80617) / 19
LCM(80598,80617) = 6497568966 / 19
LCM(80598,80617) = 341977314

Least Common Multiple (LCM) of 80598 and 80617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80598 and 80617. First we will calculate the prime factors of 80598 and 80617.

Prime Factorization of 80598

Prime Factorization of 80617

Now multiplying the highest exponent prime factors to calculate the LCM of 80598 and 80617.

LCM(80598,80617) = 2¹ × 3¹ × 7¹ × 19¹ × 101¹ × 4243¹
LCM(80598,80617) = 341977314