What is the Least Common Multiple of 39385 and 39400?

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 39385 and 39400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39385 and 39400, than apply into the LCM equation.

GCF(39385,39400) = 5
LCM(39385,39400) = ( 39385 × 39400) / 5
LCM(39385,39400) = 1551769000 / 5
LCM(39385,39400) = 310353800

Least Common Multiple (LCM) of 39385 and 39400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39385 and 39400. First we will calculate the prime factors of 39385 and 39400.

Prime Factorization of 39385

Prime Factorization of 39400

Now multiplying the highest exponent prime factors to calculate the LCM of 39385 and 39400.

LCM(39385,39400) = 5² × 7877¹ × 2³ × 197¹
LCM(39385,39400) = 310353800