What is the Least Common Multiple of 18250 and 18262?

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 18250 and 18262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18250 and 18262, than apply into the LCM equation.

GCF(18250,18262) = 2
LCM(18250,18262) = ( 18250 × 18262) / 2
LCM(18250,18262) = 333281500 / 2
LCM(18250,18262) = 166640750

Least Common Multiple (LCM) of 18250 and 18262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18250 and 18262. First we will calculate the prime factors of 18250 and 18262.

Prime Factorization of 18250

Prime Factorization of 18262

Now multiplying the highest exponent prime factors to calculate the LCM of 18250 and 18262.

LCM(18250,18262) = 2¹ × 5³ × 73¹ × 23¹ × 397¹
LCM(18250,18262) = 166640750