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What is the Least Common Multiple of 12217 and 12222?

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 12217 and 12222 is 149316174.

LCM(12217,12222) = 149316174

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Least Common Multiple of 12217 and 12222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12217 and 12222, than apply into the LCM equation.

GCF(12217,12222) = 1
LCM(12217,12222) = ( 12217 × 12222) / 1
LCM(12217,12222) = 149316174 / 1
LCM(12217,12222) = 149316174

Least Common Multiple (LCM) of 12217 and 12222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12217 and 12222. First we will calculate the prime factors of 12217 and 12222.

Prime Factorization of 12217

Prime factors of 12217 are 19, 643. Prime factorization of 12217 in exponential form is:

12217 = 191 × 6431

Prime Factorization of 12222

Prime factors of 12222 are 2, 3, 7, 97. Prime factorization of 12222 in exponential form is:

12222 = 21 × 32 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 12217 and 12222.

LCM(12217,12222) = 191 × 6431 × 21 × 32 × 71 × 971
LCM(12217,12222) = 149316174