What is the Least Common Multiple of 71687 and 71707?

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 71687 and 71707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71687 and 71707, than apply into the LCM equation.

GCF(71687,71707) = 1
LCM(71687,71707) = ( 71687 × 71707) / 1
LCM(71687,71707) = 5140459709 / 1
LCM(71687,71707) = 5140459709

Least Common Multiple (LCM) of 71687 and 71707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71687 and 71707. First we will calculate the prime factors of 71687 and 71707.

Prime Factorization of 71687

Prime Factorization of 71707

Now multiplying the highest exponent prime factors to calculate the LCM of 71687 and 71707.

LCM(71687,71707) = 7³ × 11¹ × 19¹ × 71707¹
LCM(71687,71707) = 5140459709