What is the Least Common Multiple of 22875 and 22890?

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 22875 and 22890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22875 and 22890, than apply into the LCM equation.

GCF(22875,22890) = 15
LCM(22875,22890) = ( 22875 × 22890) / 15
LCM(22875,22890) = 523608750 / 15
LCM(22875,22890) = 34907250

Least Common Multiple (LCM) of 22875 and 22890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22875 and 22890. First we will calculate the prime factors of 22875 and 22890.

Prime Factorization of 22875

Prime Factorization of 22890

Now multiplying the highest exponent prime factors to calculate the LCM of 22875 and 22890.

LCM(22875,22890) = 3¹ × 5³ × 61¹ × 2¹ × 7¹ × 109¹
LCM(22875,22890) = 34907250