What is the Least Common Multiple of 22306 and 22325?

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 22306 and 22325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22306 and 22325, than apply into the LCM equation.

GCF(22306,22325) = 19
LCM(22306,22325) = ( 22306 × 22325) / 19
LCM(22306,22325) = 497981450 / 19
LCM(22306,22325) = 26209550

Least Common Multiple (LCM) of 22306 and 22325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22306 and 22325. First we will calculate the prime factors of 22306 and 22325.

Prime Factorization of 22306

Prime Factorization of 22325

Now multiplying the highest exponent prime factors to calculate the LCM of 22306 and 22325.

LCM(22306,22325) = 2¹ × 19¹ × 587¹ × 5² × 47¹
LCM(22306,22325) = 26209550