What is the Least Common Multiple of 39400 and 39405?

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 39400 and 39405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39400 and 39405, than apply into the LCM equation.

GCF(39400,39405) = 5
LCM(39400,39405) = ( 39400 × 39405) / 5
LCM(39400,39405) = 1552557000 / 5
LCM(39400,39405) = 310511400

Least Common Multiple (LCM) of 39400 and 39405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39400 and 39405. First we will calculate the prime factors of 39400 and 39405.

Prime Factorization of 39400

Prime Factorization of 39405

Now multiplying the highest exponent prime factors to calculate the LCM of 39400 and 39405.

LCM(39400,39405) = 2³ × 5² × 197¹ × 3¹ × 37¹ × 71¹
LCM(39400,39405) = 310511400