What is the Least Common Multiple of 48395 and 48400?

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 48395 and 48400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48395 and 48400, than apply into the LCM equation.

GCF(48395,48400) = 5
LCM(48395,48400) = ( 48395 × 48400) / 5
LCM(48395,48400) = 2342318000 / 5
LCM(48395,48400) = 468463600

Least Common Multiple (LCM) of 48395 and 48400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48395 and 48400. First we will calculate the prime factors of 48395 and 48400.

Prime Factorization of 48395

Prime Factorization of 48400

Now multiplying the highest exponent prime factors to calculate the LCM of 48395 and 48400.

LCM(48395,48400) = 5² × 9679¹ × 2⁴ × 11²
LCM(48395,48400) = 468463600