What is the Least Common Multiple of 3870 and 3875?

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 3870 and 3875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3870 and 3875, than apply into the LCM equation.

GCF(3870,3875) = 5
LCM(3870,3875) = ( 3870 × 3875) / 5
LCM(3870,3875) = 14996250 / 5
LCM(3870,3875) = 2999250

Least Common Multiple (LCM) of 3870 and 3875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3870 and 3875. First we will calculate the prime factors of 3870 and 3875.

Prime Factorization of 3870

Prime Factorization of 3875

Now multiplying the highest exponent prime factors to calculate the LCM of 3870 and 3875.

LCM(3870,3875) = 2¹ × 3² × 5³ × 43¹ × 31¹
LCM(3870,3875) = 2999250