What is the Least Common Multiple of 42395 and 42400?

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 42395 and 42400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42395 and 42400, than apply into the LCM equation.

GCF(42395,42400) = 5
LCM(42395,42400) = ( 42395 × 42400) / 5
LCM(42395,42400) = 1797548000 / 5
LCM(42395,42400) = 359509600

Least Common Multiple (LCM) of 42395 and 42400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42395 and 42400. First we will calculate the prime factors of 42395 and 42400.

Prime Factorization of 42395

Prime Factorization of 42400

Now multiplying the highest exponent prime factors to calculate the LCM of 42395 and 42400.

LCM(42395,42400) = 5² × 61¹ × 139¹ × 2⁵ × 53¹
LCM(42395,42400) = 359509600