What is the Least Common Multiple of 48861 and 48879?

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 48861 and 48879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48861 and 48879, than apply into the LCM equation.

GCF(48861,48879) = 9
LCM(48861,48879) = ( 48861 × 48879) / 9
LCM(48861,48879) = 2388276819 / 9
LCM(48861,48879) = 265364091

Least Common Multiple (LCM) of 48861 and 48879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48861 and 48879. First we will calculate the prime factors of 48861 and 48879.

Prime Factorization of 48861

Prime Factorization of 48879

Now multiplying the highest exponent prime factors to calculate the LCM of 48861 and 48879.

LCM(48861,48879) = 3² × 61¹ × 89¹ × 5431¹
LCM(48861,48879) = 265364091