What is the Least Common Multiple of 45864 and 45870?

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 45864 and 45870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45864 and 45870, than apply into the LCM equation.

GCF(45864,45870) = 6
LCM(45864,45870) = ( 45864 × 45870) / 6
LCM(45864,45870) = 2103781680 / 6
LCM(45864,45870) = 350630280

Least Common Multiple (LCM) of 45864 and 45870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45864 and 45870. First we will calculate the prime factors of 45864 and 45870.

Prime Factorization of 45864

Prime Factorization of 45870

Now multiplying the highest exponent prime factors to calculate the LCM of 45864 and 45870.

LCM(45864,45870) = 2³ × 3² × 7² × 13¹ × 5¹ × 11¹ × 139¹
LCM(45864,45870) = 350630280