What is the Least Common Multiple of 22180 and 22185?

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 22180 and 22185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22180 and 22185, than apply into the LCM equation.

GCF(22180,22185) = 5
LCM(22180,22185) = ( 22180 × 22185) / 5
LCM(22180,22185) = 492063300 / 5
LCM(22180,22185) = 98412660

Least Common Multiple (LCM) of 22180 and 22185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22180 and 22185. First we will calculate the prime factors of 22180 and 22185.

Prime Factorization of 22180

Prime Factorization of 22185

Now multiplying the highest exponent prime factors to calculate the LCM of 22180 and 22185.

LCM(22180,22185) = 2² × 5¹ × 1109¹ × 3² × 17¹ × 29¹
LCM(22180,22185) = 98412660