What is the Least Common Multiple of 80655 and 80674?

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 80655 and 80674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80655 and 80674, than apply into the LCM equation.

GCF(80655,80674) = 19
LCM(80655,80674) = ( 80655 × 80674) / 19
LCM(80655,80674) = 6506761470 / 19
LCM(80655,80674) = 342461130

Least Common Multiple (LCM) of 80655 and 80674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80655 and 80674. First we will calculate the prime factors of 80655 and 80674.

Prime Factorization of 80655

Prime Factorization of 80674

Now multiplying the highest exponent prime factors to calculate the LCM of 80655 and 80674.

LCM(80655,80674) = 3¹ × 5¹ × 19¹ × 283¹ × 2¹ × 11¹ × 193¹
LCM(80655,80674) = 342461130