What is the Least Common Multiple of 24834 and 24849?

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 24834 and 24849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24834 and 24849, than apply into the LCM equation.

GCF(24834,24849) = 3
LCM(24834,24849) = ( 24834 × 24849) / 3
LCM(24834,24849) = 617100066 / 3
LCM(24834,24849) = 205700022

Least Common Multiple (LCM) of 24834 and 24849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24834 and 24849. First we will calculate the prime factors of 24834 and 24849.

Prime Factorization of 24834

Prime Factorization of 24849

Now multiplying the highest exponent prime factors to calculate the LCM of 24834 and 24849.

LCM(24834,24849) = 2¹ × 3² × 4139¹ × 11¹ × 251¹
LCM(24834,24849) = 205700022