What is the Least Common Multiple of 18864 and 18870?

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 18864 and 18870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18864 and 18870, than apply into the LCM equation.

GCF(18864,18870) = 6
LCM(18864,18870) = ( 18864 × 18870) / 6
LCM(18864,18870) = 355963680 / 6
LCM(18864,18870) = 59327280

Least Common Multiple (LCM) of 18864 and 18870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18864 and 18870. First we will calculate the prime factors of 18864 and 18870.

Prime Factorization of 18864

Prime Factorization of 18870

Now multiplying the highest exponent prime factors to calculate the LCM of 18864 and 18870.

LCM(18864,18870) = 2⁴ × 3² × 131¹ × 5¹ × 17¹ × 37¹
LCM(18864,18870) = 59327280