What is the Least Common Multiple of 71839 and 71858?

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 71839 and 71858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71839 and 71858, than apply into the LCM equation.

GCF(71839,71858) = 19
LCM(71839,71858) = ( 71839 × 71858) / 19
LCM(71839,71858) = 5162206862 / 19
LCM(71839,71858) = 271695098

Least Common Multiple (LCM) of 71839 and 71858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71839 and 71858. First we will calculate the prime factors of 71839 and 71858.

Prime Factorization of 71839

Prime Factorization of 71858

Now multiplying the highest exponent prime factors to calculate the LCM of 71839 and 71858.

LCM(71839,71858) = 19² × 199¹ × 2¹ × 31¹ × 61¹
LCM(71839,71858) = 271695098