What is the Least Common Multiple of 80556 and 80568?

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 80556 and 80568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80556 and 80568, than apply into the LCM equation.

GCF(80556,80568) = 12
LCM(80556,80568) = ( 80556 × 80568) / 12
LCM(80556,80568) = 6490235808 / 12
LCM(80556,80568) = 540852984

Least Common Multiple (LCM) of 80556 and 80568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80556 and 80568. First we will calculate the prime factors of 80556 and 80568.

Prime Factorization of 80556

Prime Factorization of 80568

Now multiplying the highest exponent prime factors to calculate the LCM of 80556 and 80568.

LCM(80556,80568) = 2³ × 3³ × 7² × 137¹ × 373¹
LCM(80556,80568) = 540852984