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What is the Least Common Multiple of 12214 and 12232?

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 12214 and 12232 is 74700824.

LCM(12214,12232) = 74700824

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Least Common Multiple of 12214 and 12232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12214 and 12232, than apply into the LCM equation.

GCF(12214,12232) = 2
LCM(12214,12232) = ( 12214 × 12232) / 2
LCM(12214,12232) = 149401648 / 2
LCM(12214,12232) = 74700824

Least Common Multiple (LCM) of 12214 and 12232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12214 and 12232. First we will calculate the prime factors of 12214 and 12232.

Prime Factorization of 12214

Prime factors of 12214 are 2, 31, 197. Prime factorization of 12214 in exponential form is:

12214 = 21 × 311 × 1971

Prime Factorization of 12232

Prime factors of 12232 are 2, 11, 139. Prime factorization of 12232 in exponential form is:

12232 = 23 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 12214 and 12232.

LCM(12214,12232) = 23 × 311 × 1971 × 111 × 1391
LCM(12214,12232) = 74700824