What is the Least Common Multiple of 15484 and 15491?

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 15484 and 15491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15484 and 15491, than apply into the LCM equation.

GCF(15484,15491) = 7
LCM(15484,15491) = ( 15484 × 15491) / 7
LCM(15484,15491) = 239862644 / 7
LCM(15484,15491) = 34266092

Least Common Multiple (LCM) of 15484 and 15491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15484 and 15491. First we will calculate the prime factors of 15484 and 15491.

Prime Factorization of 15484

Prime Factorization of 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 15484 and 15491.

LCM(15484,15491) = 2² × 7² × 79¹ × 2213¹
LCM(15484,15491) = 34266092