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What is the Least Common Multiple of 18212 and 18222?

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 18212 and 18222 is 165929532.

LCM(18212,18222) = 165929532

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Least Common Multiple of 18212 and 18222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18212 and 18222, than apply into the LCM equation.

GCF(18212,18222) = 2
LCM(18212,18222) = ( 18212 × 18222) / 2
LCM(18212,18222) = 331859064 / 2
LCM(18212,18222) = 165929532

Least Common Multiple (LCM) of 18212 and 18222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18212 and 18222. First we will calculate the prime factors of 18212 and 18222.

Prime Factorization of 18212

Prime factors of 18212 are 2, 29, 157. Prime factorization of 18212 in exponential form is:

18212 = 22 × 291 × 1571

Prime Factorization of 18222

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

18222 = 21 × 31 × 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 18212 and 18222.

LCM(18212,18222) = 22 × 291 × 1571 × 31 × 30371
LCM(18212,18222) = 165929532