What is the Least Common Multiple of 15284 and 15298?

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 15284 and 15298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15284 and 15298, than apply into the LCM equation.

GCF(15284,15298) = 2
LCM(15284,15298) = ( 15284 × 15298) / 2
LCM(15284,15298) = 233814632 / 2
LCM(15284,15298) = 116907316

Least Common Multiple (LCM) of 15284 and 15298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15284 and 15298. First we will calculate the prime factors of 15284 and 15298.

Prime Factorization of 15284

Prime Factorization of 15298

Now multiplying the highest exponent prime factors to calculate the LCM of 15284 and 15298.

LCM(15284,15298) = 2² × 3821¹ × 7649¹
LCM(15284,15298) = 116907316