What is the Least Common Multiple of 22503 and 22518?

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 22503 and 22518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22503 and 22518, than apply into the LCM equation.

GCF(22503,22518) = 3
LCM(22503,22518) = ( 22503 × 22518) / 3
LCM(22503,22518) = 506722554 / 3
LCM(22503,22518) = 168907518

Least Common Multiple (LCM) of 22503 and 22518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22503 and 22518. First we will calculate the prime factors of 22503 and 22518.

Prime Factorization of 22503

Prime Factorization of 22518

Now multiplying the highest exponent prime factors to calculate the LCM of 22503 and 22518.

LCM(22503,22518) = 3⁴ × 13¹ × 577¹ × 2¹ × 139¹
LCM(22503,22518) = 168907518