What is the Least Common Multiple of 71862 and 71873?

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 71862 and 71873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71862 and 71873, than apply into the LCM equation.

GCF(71862,71873) = 1
LCM(71862,71873) = ( 71862 × 71873) / 1
LCM(71862,71873) = 5164937526 / 1
LCM(71862,71873) = 5164937526

Least Common Multiple (LCM) of 71862 and 71873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71862 and 71873. First we will calculate the prime factors of 71862 and 71873.

Prime Factorization of 71862

Prime Factorization of 71873

Now multiplying the highest exponent prime factors to calculate the LCM of 71862 and 71873.

LCM(71862,71873) = 2¹ × 3¹ × 7¹ × 29¹ × 59¹ × 41¹ × 1753¹
LCM(71862,71873) = 5164937526