What is the Least Common Multiple of 71733 and 71749?

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 71733 and 71749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71733 and 71749, than apply into the LCM equation.

GCF(71733,71749) = 1
LCM(71733,71749) = ( 71733 × 71749) / 1
LCM(71733,71749) = 5146771017 / 1
LCM(71733,71749) = 5146771017

Least Common Multiple (LCM) of 71733 and 71749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71733 and 71749. First we will calculate the prime factors of 71733 and 71749.

Prime Factorization of 71733

Prime Factorization of 71749

Now multiplying the highest exponent prime factors to calculate the LCM of 71733 and 71749.

LCM(71733,71749) = 3¹ × 23911¹ × 157¹ × 457¹
LCM(71733,71749) = 5146771017