What is the Least Common Multiple of 84873 and 84879?

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 84873 and 84879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84873 and 84879, than apply into the LCM equation.

GCF(84873,84879) = 3
LCM(84873,84879) = ( 84873 × 84879) / 3
LCM(84873,84879) = 7203935367 / 3
LCM(84873,84879) = 2401311789

Least Common Multiple (LCM) of 84873 and 84879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84873 and 84879. First we will calculate the prime factors of 84873 and 84879.

Prime Factorization of 84873

Prime Factorization of 84879

Now multiplying the highest exponent prime factors to calculate the LCM of 84873 and 84879.

LCM(84873,84879) = 3² × 19¹ × 1489¹ × 9431¹
LCM(84873,84879) = 2401311789