What is the Least Common Multiple of 80395 and 80400?

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 80395 and 80400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80395 and 80400, than apply into the LCM equation.

GCF(80395,80400) = 5
LCM(80395,80400) = ( 80395 × 80400) / 5
LCM(80395,80400) = 6463758000 / 5
LCM(80395,80400) = 1292751600

Least Common Multiple (LCM) of 80395 and 80400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80395 and 80400. First we will calculate the prime factors of 80395 and 80400.

Prime Factorization of 80395

Prime Factorization of 80400

Now multiplying the highest exponent prime factors to calculate the LCM of 80395 and 80400.

LCM(80395,80400) = 5² × 7¹ × 2297¹ × 2⁴ × 3¹ × 67¹
LCM(80395,80400) = 1292751600