What is the Least Common Multiple of 11259 and 11274?

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 11259 and 11274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11259 and 11274, than apply into the LCM equation.

GCF(11259,11274) = 3
LCM(11259,11274) = ( 11259 × 11274) / 3
LCM(11259,11274) = 126933966 / 3
LCM(11259,11274) = 42311322

Least Common Multiple (LCM) of 11259 and 11274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11259 and 11274. First we will calculate the prime factors of 11259 and 11274.

Prime Factorization of 11259

Prime Factorization of 11274

Now multiplying the highest exponent prime factors to calculate the LCM of 11259 and 11274.

LCM(11259,11274) = 3⁴ × 139¹ × 2¹ × 1879¹
LCM(11259,11274) = 42311322