What is the Least Common Multiple of 20312 and 20317?

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 20312 and 20317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20312 and 20317, than apply into the LCM equation.

GCF(20312,20317) = 1
LCM(20312,20317) = ( 20312 × 20317) / 1
LCM(20312,20317) = 412678904 / 1
LCM(20312,20317) = 412678904

Least Common Multiple (LCM) of 20312 and 20317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20312 and 20317. First we will calculate the prime factors of 20312 and 20317.

Prime Factorization of 20312

Prime Factorization of 20317

Now multiplying the highest exponent prime factors to calculate the LCM of 20312 and 20317.

LCM(20312,20317) = 2³ × 2539¹ × 11¹ × 1847¹
LCM(20312,20317) = 412678904