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What is the Least Common Multiple of 12203 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 12203 and 12222 is 149145066.

LCM(12203,12222) = 149145066

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Least Common Multiple of 12203 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 12203 and 12222, than apply into the LCM equation.

GCF(12203,12222) = 1
LCM(12203,12222) = ( 12203 × 12222) / 1
LCM(12203,12222) = 149145066 / 1
LCM(12203,12222) = 149145066

Least Common Multiple (LCM) of 12203 and 12222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12203 and 12222. First we will calculate the prime factors of 12203 and 12222.

Prime Factorization of 12203

Prime factors of 12203 are 12203. Prime factorization of 12203 in exponential form is:

12203 = 122031

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 12203 and 12222.

LCM(12203,12222) = 122031 × 21 × 32 × 71 × 971
LCM(12203,12222) = 149145066