What is the Least Common Multiple of 17814 and 17825?

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 17814 and 17825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17814 and 17825, than apply into the LCM equation.

GCF(17814,17825) = 1
LCM(17814,17825) = ( 17814 × 17825) / 1
LCM(17814,17825) = 317534550 / 1
LCM(17814,17825) = 317534550

Least Common Multiple (LCM) of 17814 and 17825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17814 and 17825. First we will calculate the prime factors of 17814 and 17825.

Prime Factorization of 17814

Prime Factorization of 17825

Now multiplying the highest exponent prime factors to calculate the LCM of 17814 and 17825.

LCM(17814,17825) = 2¹ × 3¹ × 2969¹ × 5² × 23¹ × 31¹
LCM(17814,17825) = 317534550