What is the Least Common Multiple of 80461 and 80472?

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 80461 and 80472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80461 and 80472, than apply into the LCM equation.

GCF(80461,80472) = 1
LCM(80461,80472) = ( 80461 × 80472) / 1
LCM(80461,80472) = 6474857592 / 1
LCM(80461,80472) = 6474857592

Least Common Multiple (LCM) of 80461 and 80472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80461 and 80472. First we will calculate the prime factors of 80461 and 80472.

Prime Factorization of 80461

Prime Factorization of 80472

Now multiplying the highest exponent prime factors to calculate the LCM of 80461 and 80472.

LCM(80461,80472) = 17¹ × 4733¹ × 2³ × 3¹ × 7¹ × 479¹
LCM(80461,80472) = 6474857592