What is the Least Common Multiple of 45870 and 45885?

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 45870 and 45885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45870 and 45885, than apply into the LCM equation.

GCF(45870,45885) = 15
LCM(45870,45885) = ( 45870 × 45885) / 15
LCM(45870,45885) = 2104744950 / 15
LCM(45870,45885) = 140316330

Least Common Multiple (LCM) of 45870 and 45885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45870 and 45885. First we will calculate the prime factors of 45870 and 45885.

Prime Factorization of 45870

Prime Factorization of 45885

Now multiplying the highest exponent prime factors to calculate the LCM of 45870 and 45885.

LCM(45870,45885) = 2¹ × 3¹ × 5¹ × 11¹ × 139¹ × 7¹ × 19¹ × 23¹
LCM(45870,45885) = 140316330