What is the Least Common Multiple of 24861 and 24879?

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 24861 and 24879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24861 and 24879, than apply into the LCM equation.

GCF(24861,24879) = 3
LCM(24861,24879) = ( 24861 × 24879) / 3
LCM(24861,24879) = 618516819 / 3
LCM(24861,24879) = 206172273

Least Common Multiple (LCM) of 24861 and 24879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24861 and 24879. First we will calculate the prime factors of 24861 and 24879.

Prime Factorization of 24861

Prime Factorization of 24879

Now multiplying the highest exponent prime factors to calculate the LCM of 24861 and 24879.

LCM(24861,24879) = 3¹ × 8287¹ × 8293¹
LCM(24861,24879) = 206172273