What is the Least Common Multiple of 80538 and 80553?

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 80553 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 80553, than apply into the LCM equation.

GCF(80538,80553) = 3
LCM(80538,80553) = ( 80538 × 80553) / 3
LCM(80538,80553) = 6487577514 / 3
LCM(80538,80553) = 2162525838

Least Common Multiple (LCM) of 80538 and 80553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80538 and 80553. First we will calculate the prime factors of 80538 and 80553.

Prime Factorization of 80538

Prime Factorization of 80553

Now multiplying the highest exponent prime factors to calculate the LCM of 80538 and 80553.

LCM(80538,80553) = 2¹ × 3¹ × 31¹ × 433¹ × 11¹ × 2441¹
LCM(80538,80553) = 2162525838