What is the Least Common Multiple of 73395 and 73400?

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 73395 and 73400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73395 and 73400, than apply into the LCM equation.

GCF(73395,73400) = 5
LCM(73395,73400) = ( 73395 × 73400) / 5
LCM(73395,73400) = 5387193000 / 5
LCM(73395,73400) = 1077438600

Least Common Multiple (LCM) of 73395 and 73400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73395 and 73400. First we will calculate the prime factors of 73395 and 73400.

Prime Factorization of 73395

Prime Factorization of 73400

Now multiplying the highest exponent prime factors to calculate the LCM of 73395 and 73400.

LCM(73395,73400) = 3² × 5² × 7¹ × 233¹ × 2³ × 367¹
LCM(73395,73400) = 1077438600