What is the Least Common Multiple of 22485 and 22504?

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 22485 and 22504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22485 and 22504, than apply into the LCM equation.

GCF(22485,22504) = 1
LCM(22485,22504) = ( 22485 × 22504) / 1
LCM(22485,22504) = 506002440 / 1
LCM(22485,22504) = 506002440

Least Common Multiple (LCM) of 22485 and 22504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22485 and 22504. First we will calculate the prime factors of 22485 and 22504.

Prime Factorization of 22485

Prime Factorization of 22504

Now multiplying the highest exponent prime factors to calculate the LCM of 22485 and 22504.

LCM(22485,22504) = 3¹ × 5¹ × 1499¹ × 2³ × 29¹ × 97¹
LCM(22485,22504) = 506002440