What is the Least Common Multiple of 18614 and 18625?

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 18614 and 18625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18614 and 18625, than apply into the LCM equation.

GCF(18614,18625) = 1
LCM(18614,18625) = ( 18614 × 18625) / 1
LCM(18614,18625) = 346685750 / 1
LCM(18614,18625) = 346685750

Least Common Multiple (LCM) of 18614 and 18625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18614 and 18625. First we will calculate the prime factors of 18614 and 18625.

Prime Factorization of 18614

Prime Factorization of 18625

Now multiplying the highest exponent prime factors to calculate the LCM of 18614 and 18625.

LCM(18614,18625) = 2¹ × 41¹ × 227¹ × 5³ × 149¹
LCM(18614,18625) = 346685750