What is the Least Common Multiple of 39297 and 39317?

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 39297 and 39317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39297 and 39317, than apply into the LCM equation.

GCF(39297,39317) = 1
LCM(39297,39317) = ( 39297 × 39317) / 1
LCM(39297,39317) = 1545040149 / 1
LCM(39297,39317) = 1545040149

Least Common Multiple (LCM) of 39297 and 39317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39297 and 39317. First we will calculate the prime factors of 39297 and 39317.

Prime Factorization of 39297

Prime Factorization of 39317

Now multiplying the highest exponent prime factors to calculate the LCM of 39297 and 39317.

LCM(39297,39317) = 3¹ × 13099¹ × 39317¹
LCM(39297,39317) = 1545040149