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What is the Least Common Multiple of 12216 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 12216 and 12224 is 18666048.

LCM(12216,12224) = 18666048

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Least Common Multiple of 12216 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 12216 and 12224, than apply into the LCM equation.

GCF(12216,12224) = 8
LCM(12216,12224) = ( 12216 × 12224) / 8
LCM(12216,12224) = 149328384 / 8
LCM(12216,12224) = 18666048

Least Common Multiple (LCM) of 12216 and 12224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12216 and 12224. First we will calculate the prime factors of 12216 and 12224.

Prime Factorization of 12216

Prime factors of 12216 are 2, 3, 509. Prime factorization of 12216 in exponential form is:

12216 = 23 × 31 × 5091

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 12216 and 12224.

LCM(12216,12224) = 26 × 31 × 5091 × 1911
LCM(12216,12224) = 18666048