What is the Least Common Multiple of 22260 and 22275?

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 22260 and 22275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22260 and 22275, than apply into the LCM equation.

GCF(22260,22275) = 15
LCM(22260,22275) = ( 22260 × 22275) / 15
LCM(22260,22275) = 495841500 / 15
LCM(22260,22275) = 33056100

Least Common Multiple (LCM) of 22260 and 22275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22260 and 22275. First we will calculate the prime factors of 22260 and 22275.

Prime Factorization of 22260

Prime Factorization of 22275

Now multiplying the highest exponent prime factors to calculate the LCM of 22260 and 22275.

LCM(22260,22275) = 2² × 3⁴ × 5² × 7¹ × 53¹ × 11¹
LCM(22260,22275) = 33056100