What is the Least Common Multiple of 15282 and 15296?

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 15282 and 15296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15282 and 15296, than apply into the LCM equation.

GCF(15282,15296) = 2
LCM(15282,15296) = ( 15282 × 15296) / 2
LCM(15282,15296) = 233753472 / 2
LCM(15282,15296) = 116876736

Least Common Multiple (LCM) of 15282 and 15296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15282 and 15296. First we will calculate the prime factors of 15282 and 15296.

Prime Factorization of 15282

Prime Factorization of 15296

Now multiplying the highest exponent prime factors to calculate the LCM of 15282 and 15296.

LCM(15282,15296) = 2⁶ × 3³ × 283¹ × 239¹
LCM(15282,15296) = 116876736