What is the Least Common Multiple of 83870 and 83875?

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 83870 and 83875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83870 and 83875, than apply into the LCM equation.

GCF(83870,83875) = 5
LCM(83870,83875) = ( 83870 × 83875) / 5
LCM(83870,83875) = 7034596250 / 5
LCM(83870,83875) = 1406919250

Least Common Multiple (LCM) of 83870 and 83875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83870 and 83875. First we will calculate the prime factors of 83870 and 83875.

Prime Factorization of 83870

Prime Factorization of 83875

Now multiplying the highest exponent prime factors to calculate the LCM of 83870 and 83875.

LCM(83870,83875) = 2¹ × 5³ × 8387¹ × 11¹ × 61¹
LCM(83870,83875) = 1406919250