What is the Least Common Multiple of 48870 and 48885?

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 48870 and 48885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48870 and 48885, than apply into the LCM equation.

GCF(48870,48885) = 15
LCM(48870,48885) = ( 48870 × 48885) / 15
LCM(48870,48885) = 2389009950 / 15
LCM(48870,48885) = 159267330

Least Common Multiple (LCM) of 48870 and 48885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48870 and 48885. First we will calculate the prime factors of 48870 and 48885.

Prime Factorization of 48870

Prime Factorization of 48885

Now multiplying the highest exponent prime factors to calculate the LCM of 48870 and 48885.

LCM(48870,48885) = 2¹ × 3³ × 5¹ × 181¹ × 3259¹
LCM(48870,48885) = 159267330