What is the Least Common Multiple of 19870 and 19875?

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 19870 and 19875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19870 and 19875, than apply into the LCM equation.

GCF(19870,19875) = 5
LCM(19870,19875) = ( 19870 × 19875) / 5
LCM(19870,19875) = 394916250 / 5
LCM(19870,19875) = 78983250

Least Common Multiple (LCM) of 19870 and 19875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19870 and 19875. First we will calculate the prime factors of 19870 and 19875.

Prime Factorization of 19870

Prime Factorization of 19875

Now multiplying the highest exponent prime factors to calculate the LCM of 19870 and 19875.

LCM(19870,19875) = 2¹ × 5³ × 1987¹ × 3¹ × 53¹
LCM(19870,19875) = 78983250