What is the Least Common Multiple of 80529 and 80538?

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 80529 and 80538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80529 and 80538, than apply into the LCM equation.

GCF(80529,80538) = 3
LCM(80529,80538) = ( 80529 × 80538) / 3
LCM(80529,80538) = 6485644602 / 3
LCM(80529,80538) = 2161881534

Least Common Multiple (LCM) of 80529 and 80538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80529 and 80538. First we will calculate the prime factors of 80529 and 80538.

Prime Factorization of 80529

Prime Factorization of 80538

Now multiplying the highest exponent prime factors to calculate the LCM of 80529 and 80538.

LCM(80529,80538) = 3¹ × 17¹ × 1579¹ × 2¹ × 31¹ × 433¹
LCM(80529,80538) = 2161881534