What is the Least Common Multiple of 80043 and 80056?

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 80043 and 80056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80043 and 80056, than apply into the LCM equation.

GCF(80043,80056) = 1
LCM(80043,80056) = ( 80043 × 80056) / 1
LCM(80043,80056) = 6407922408 / 1
LCM(80043,80056) = 6407922408

Least Common Multiple (LCM) of 80043 and 80056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80043 and 80056. First we will calculate the prime factors of 80043 and 80056.

Prime Factorization of 80043

Prime Factorization of 80056

Now multiplying the highest exponent prime factors to calculate the LCM of 80043 and 80056.

LCM(80043,80056) = 3¹ × 26681¹ × 2³ × 10007¹
LCM(80043,80056) = 6407922408