What is the Least Common Multiple of 38685 and 38700?

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 38685 and 38700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38685 and 38700, than apply into the LCM equation.

GCF(38685,38700) = 15
LCM(38685,38700) = ( 38685 × 38700) / 15
LCM(38685,38700) = 1497109500 / 15
LCM(38685,38700) = 99807300

Least Common Multiple (LCM) of 38685 and 38700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38685 and 38700. First we will calculate the prime factors of 38685 and 38700.

Prime Factorization of 38685

Prime Factorization of 38700

Now multiplying the highest exponent prime factors to calculate the LCM of 38685 and 38700.

LCM(38685,38700) = 3² × 5² × 2579¹ × 2² × 43¹
LCM(38685,38700) = 99807300