What is the Least Common Multiple of 80472 and 80478?

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 80472 and 80478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80472 and 80478, than apply into the LCM equation.

GCF(80472,80478) = 6
LCM(80472,80478) = ( 80472 × 80478) / 6
LCM(80472,80478) = 6476225616 / 6
LCM(80472,80478) = 1079370936

Least Common Multiple (LCM) of 80472 and 80478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80472 and 80478. First we will calculate the prime factors of 80472 and 80478.

Prime Factorization of 80472

Prime Factorization of 80478

Now multiplying the highest exponent prime factors to calculate the LCM of 80472 and 80478.

LCM(80472,80478) = 2³ × 3² × 7¹ × 479¹ × 17¹ × 263¹
LCM(80472,80478) = 1079370936