What is the Least Common Multiple of 18259 and 18278?

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 18259 and 18278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18259 and 18278, than apply into the LCM equation.

GCF(18259,18278) = 19
LCM(18259,18278) = ( 18259 × 18278) / 19
LCM(18259,18278) = 333738002 / 19
LCM(18259,18278) = 17565158

Least Common Multiple (LCM) of 18259 and 18278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18259 and 18278. First we will calculate the prime factors of 18259 and 18278.

Prime Factorization of 18259

Prime Factorization of 18278

Now multiplying the highest exponent prime factors to calculate the LCM of 18259 and 18278.

LCM(18259,18278) = 19¹ × 31² × 2¹ × 13¹ × 37¹
LCM(18259,18278) = 17565158