What is the Least Common Multiple of 80736 and 80747?

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 80736 and 80747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80736 and 80747, than apply into the LCM equation.

GCF(80736,80747) = 1
LCM(80736,80747) = ( 80736 × 80747) / 1
LCM(80736,80747) = 6519189792 / 1
LCM(80736,80747) = 6519189792

Least Common Multiple (LCM) of 80736 and 80747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80736 and 80747. First we will calculate the prime factors of 80736 and 80747.

Prime Factorization of 80736

Prime Factorization of 80747

Now multiplying the highest exponent prime factors to calculate the LCM of 80736 and 80747.

LCM(80736,80747) = 2⁵ × 3¹ × 29² × 80747¹
LCM(80736,80747) = 6519189792