What is the Least Common Multiple of 22275 and 22290?

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 22275 and 22290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22275 and 22290, than apply into the LCM equation.

GCF(22275,22290) = 15
LCM(22275,22290) = ( 22275 × 22290) / 15
LCM(22275,22290) = 496509750 / 15
LCM(22275,22290) = 33100650

Least Common Multiple (LCM) of 22275 and 22290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22275 and 22290. First we will calculate the prime factors of 22275 and 22290.

Prime Factorization of 22275

Prime Factorization of 22290

Now multiplying the highest exponent prime factors to calculate the LCM of 22275 and 22290.

LCM(22275,22290) = 3⁴ × 5² × 11¹ × 2¹ × 743¹
LCM(22275,22290) = 33100650