What is the Least Common Multiple of 80350 and 80368?

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 80350 and 80368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80350 and 80368, than apply into the LCM equation.

GCF(80350,80368) = 2
LCM(80350,80368) = ( 80350 × 80368) / 2
LCM(80350,80368) = 6457568800 / 2
LCM(80350,80368) = 3228784400

Least Common Multiple (LCM) of 80350 and 80368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80350 and 80368. First we will calculate the prime factors of 80350 and 80368.

Prime Factorization of 80350

Prime Factorization of 80368

Now multiplying the highest exponent prime factors to calculate the LCM of 80350 and 80368.

LCM(80350,80368) = 2⁴ × 5² × 1607¹ × 5023¹
LCM(80350,80368) = 3228784400