What is the Least Common Multiple of 25844 and 25858?

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 25844 and 25858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25844 and 25858, than apply into the LCM equation.

GCF(25844,25858) = 14
LCM(25844,25858) = ( 25844 × 25858) / 14
LCM(25844,25858) = 668274152 / 14
LCM(25844,25858) = 47733868

Least Common Multiple (LCM) of 25844 and 25858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25844 and 25858. First we will calculate the prime factors of 25844 and 25858.

Prime Factorization of 25844

Prime Factorization of 25858

Now multiplying the highest exponent prime factors to calculate the LCM of 25844 and 25858.

LCM(25844,25858) = 2² × 7¹ × 13¹ × 71¹ × 1847¹
LCM(25844,25858) = 47733868