What is the Least Common Multiple of 80538 and 80547?

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 80538 and 80547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80538 and 80547, than apply into the LCM equation.

GCF(80538,80547) = 3
LCM(80538,80547) = ( 80538 × 80547) / 3
LCM(80538,80547) = 6487094286 / 3
LCM(80538,80547) = 2162364762

Least Common Multiple (LCM) of 80538 and 80547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80538 and 80547. First we will calculate the prime factors of 80538 and 80547.

Prime Factorization of 80538

Prime Factorization of 80547

Now multiplying the highest exponent prime factors to calculate the LCM of 80538 and 80547.

LCM(80538,80547) = 2¹ × 3¹ × 31¹ × 433¹ × 26849¹
LCM(80538,80547) = 2162364762