What is the Least Common Multiple of 38670 and 38675?

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 38670 and 38675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38670 and 38675, than apply into the LCM equation.

GCF(38670,38675) = 5
LCM(38670,38675) = ( 38670 × 38675) / 5
LCM(38670,38675) = 1495562250 / 5
LCM(38670,38675) = 299112450

Least Common Multiple (LCM) of 38670 and 38675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38670 and 38675. First we will calculate the prime factors of 38670 and 38675.

Prime Factorization of 38670

Prime Factorization of 38675

Now multiplying the highest exponent prime factors to calculate the LCM of 38670 and 38675.

LCM(38670,38675) = 2¹ × 3¹ × 5² × 1289¹ × 7¹ × 13¹ × 17¹
LCM(38670,38675) = 299112450