What is the Least Common Multiple of 5312 and 5317?

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 5312 and 5317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5312 and 5317, than apply into the LCM equation.

GCF(5312,5317) = 1
LCM(5312,5317) = ( 5312 × 5317) / 1
LCM(5312,5317) = 28243904 / 1
LCM(5312,5317) = 28243904

Least Common Multiple (LCM) of 5312 and 5317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5312 and 5317. First we will calculate the prime factors of 5312 and 5317.

Prime Factorization of 5312

Prime Factorization of 5317

Now multiplying the highest exponent prime factors to calculate the LCM of 5312 and 5317.

LCM(5312,5317) = 2⁶ × 83¹ × 13¹ × 409¹
LCM(5312,5317) = 28243904