What is the Least Common Multiple of 80478 and 80493?

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 80478 and 80493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80478 and 80493, than apply into the LCM equation.

GCF(80478,80493) = 3
LCM(80478,80493) = ( 80478 × 80493) / 3
LCM(80478,80493) = 6477915654 / 3
LCM(80478,80493) = 2159305218

Least Common Multiple (LCM) of 80478 and 80493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80478 and 80493. First we will calculate the prime factors of 80478 and 80493.

Prime Factorization of 80478

Prime Factorization of 80493

Now multiplying the highest exponent prime factors to calculate the LCM of 80478 and 80493.

LCM(80478,80493) = 2¹ × 3² × 17¹ × 263¹ × 7¹ × 3833¹
LCM(80478,80493) = 2159305218