What is the Least Common Multiple of 15298 and 15311?

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 15298 and 15311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15298 and 15311, than apply into the LCM equation.

GCF(15298,15311) = 1
LCM(15298,15311) = ( 15298 × 15311) / 1
LCM(15298,15311) = 234227678 / 1
LCM(15298,15311) = 234227678

Least Common Multiple (LCM) of 15298 and 15311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15298 and 15311. First we will calculate the prime factors of 15298 and 15311.

Prime Factorization of 15298

Prime Factorization of 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 15298 and 15311.

LCM(15298,15311) = 2¹ × 7649¹ × 61¹ × 251¹
LCM(15298,15311) = 234227678