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What is the Least Common Multiple of 18222 and 18235?

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 (LCM) of 18222 and 18235 is 332278170.

LCM(18222,18235) = 332278170

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Least Common Multiple of 18222 and 18235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18222 and 18235, than apply into the LCM equation.

GCF(18222,18235) = 1
LCM(18222,18235) = ( 18222 × 18235) / 1
LCM(18222,18235) = 332278170 / 1
LCM(18222,18235) = 332278170

Least Common Multiple (LCM) of 18222 and 18235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18222 and 18235. First we will calculate the prime factors of 18222 and 18235.

Prime Factorization of 18222

Prime factors of 18222 are 2, 3, 3037. Prime factorization of 18222 in exponential form is:

18222 = 21 × 31 × 30371

Prime Factorization of 18235

Prime factors of 18235 are 5, 7, 521. Prime factorization of 18235 in exponential form is:

18235 = 51 × 71 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 18222 and 18235.

LCM(18222,18235) = 21 × 31 × 30371 × 51 × 71 × 5211
LCM(18222,18235) = 332278170