What is the Least Common Multiple of 39864 and 39870?

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 39864 and 39870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39864 and 39870, than apply into the LCM equation.

GCF(39864,39870) = 6
LCM(39864,39870) = ( 39864 × 39870) / 6
LCM(39864,39870) = 1589377680 / 6
LCM(39864,39870) = 264896280

Least Common Multiple (LCM) of 39864 and 39870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39864 and 39870. First we will calculate the prime factors of 39864 and 39870.

Prime Factorization of 39864

Prime Factorization of 39870

Now multiplying the highest exponent prime factors to calculate the LCM of 39864 and 39870.

LCM(39864,39870) = 2³ × 3² × 11¹ × 151¹ × 5¹ × 443¹
LCM(39864,39870) = 264896280