What is the Least Common Multiple of 80073 and 80085?

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 80073 and 80085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80073 and 80085, than apply into the LCM equation.

GCF(80073,80085) = 3
LCM(80073,80085) = ( 80073 × 80085) / 3
LCM(80073,80085) = 6412646205 / 3
LCM(80073,80085) = 2137548735

Least Common Multiple (LCM) of 80073 and 80085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80073 and 80085. First we will calculate the prime factors of 80073 and 80085.

Prime Factorization of 80073

Prime Factorization of 80085

Now multiplying the highest exponent prime factors to calculate the LCM of 80073 and 80085.

LCM(80073,80085) = 3² × 7¹ × 31¹ × 41¹ × 5¹ × 19¹ × 281¹
LCM(80073,80085) = 2137548735