What is the Least Common Multiple of 71873 and 71891?

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 71873 and 71891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71873 and 71891, than apply into the LCM equation.

GCF(71873,71891) = 1
LCM(71873,71891) = ( 71873 × 71891) / 1
LCM(71873,71891) = 5167021843 / 1
LCM(71873,71891) = 5167021843

Least Common Multiple (LCM) of 71873 and 71891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71873 and 71891. First we will calculate the prime factors of 71873 and 71891.

Prime Factorization of 71873

Prime Factorization of 71891

Now multiplying the highest exponent prime factors to calculate the LCM of 71873 and 71891.

LCM(71873,71891) = 41¹ × 1753¹ × 29¹ × 37¹ × 67¹
LCM(71873,71891) = 5167021843