What is the Least Common Multiple of 80601 and 80619?

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 80601 and 80619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80601 and 80619, than apply into the LCM equation.

GCF(80601,80619) = 3
LCM(80601,80619) = ( 80601 × 80619) / 3
LCM(80601,80619) = 6497972019 / 3
LCM(80601,80619) = 2165990673

Least Common Multiple (LCM) of 80601 and 80619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80601 and 80619. First we will calculate the prime factors of 80601 and 80619.

Prime Factorization of 80601

Prime Factorization of 80619

Now multiplying the highest exponent prime factors to calculate the LCM of 80601 and 80619.

LCM(80601,80619) = 3¹ × 67¹ × 401¹ × 7¹ × 11¹ × 349¹
LCM(80601,80619) = 2165990673