What is the Least Common Multiple of 39870 and 39885?

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 39870 and 39885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39870 and 39885, than apply into the LCM equation.

GCF(39870,39885) = 15
LCM(39870,39885) = ( 39870 × 39885) / 15
LCM(39870,39885) = 1590214950 / 15
LCM(39870,39885) = 106014330

Least Common Multiple (LCM) of 39870 and 39885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39870 and 39885. First we will calculate the prime factors of 39870 and 39885.

Prime Factorization of 39870

Prime Factorization of 39885

Now multiplying the highest exponent prime factors to calculate the LCM of 39870 and 39885.

LCM(39870,39885) = 2¹ × 3² × 5¹ × 443¹ × 2659¹
LCM(39870,39885) = 106014330