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What is the Least Common Multiple of 12207 and 12224?

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 12207 and 12224 is 149218368.

LCM(12207,12224) = 149218368

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Least Common Multiple of 12207 and 12224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12207 and 12224, than apply into the LCM equation.

GCF(12207,12224) = 1
LCM(12207,12224) = ( 12207 × 12224) / 1
LCM(12207,12224) = 149218368 / 1
LCM(12207,12224) = 149218368

Least Common Multiple (LCM) of 12207 and 12224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12207 and 12224. First we will calculate the prime factors of 12207 and 12224.

Prime Factorization of 12207

Prime factors of 12207 are 3, 13, 313. Prime factorization of 12207 in exponential form is:

12207 = 31 × 131 × 3131

Prime Factorization of 12224

Prime factors of 12224 are 2, 191. Prime factorization of 12224 in exponential form is:

12224 = 26 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 12207 and 12224.

LCM(12207,12224) = 31 × 131 × 3131 × 26 × 1911
LCM(12207,12224) = 149218368