What is the Least Common Multiple of 22185 and 22198?

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 22185 and 22198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22185 and 22198, than apply into the LCM equation.

GCF(22185,22198) = 1
LCM(22185,22198) = ( 22185 × 22198) / 1
LCM(22185,22198) = 492462630 / 1
LCM(22185,22198) = 492462630

Least Common Multiple (LCM) of 22185 and 22198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22185 and 22198. First we will calculate the prime factors of 22185 and 22198.

Prime Factorization of 22185

Prime Factorization of 22198

Now multiplying the highest exponent prime factors to calculate the LCM of 22185 and 22198.

LCM(22185,22198) = 3² × 5¹ × 17¹ × 29¹ × 2¹ × 11¹ × 1009¹
LCM(22185,22198) = 492462630