What is the Least Common Multiple of 80728 and 80748?

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 80728 and 80748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80728 and 80748, than apply into the LCM equation.

GCF(80728,80748) = 4
LCM(80728,80748) = ( 80728 × 80748) / 4
LCM(80728,80748) = 6518624544 / 4
LCM(80728,80748) = 1629656136

Least Common Multiple (LCM) of 80728 and 80748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80728 and 80748. First we will calculate the prime factors of 80728 and 80748.

Prime Factorization of 80728

Prime Factorization of 80748

Now multiplying the highest exponent prime factors to calculate the LCM of 80728 and 80748.

LCM(80728,80748) = 2³ × 10091¹ × 3² × 2243¹
LCM(80728,80748) = 1629656136