What is the Least Common Multiple of 4395 and 4400?

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 4395 and 4400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4395 and 4400, than apply into the LCM equation.

GCF(4395,4400) = 5
LCM(4395,4400) = ( 4395 × 4400) / 5
LCM(4395,4400) = 19338000 / 5
LCM(4395,4400) = 3867600

Least Common Multiple (LCM) of 4395 and 4400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4395 and 4400. First we will calculate the prime factors of 4395 and 4400.

Prime Factorization of 4395

Prime Factorization of 4400

Now multiplying the highest exponent prime factors to calculate the LCM of 4395 and 4400.

LCM(4395,4400) = 3¹ × 5² × 293¹ × 2⁴ × 11¹
LCM(4395,4400) = 3867600