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What is the Least Common Multiple of 12233 and 12244?

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 12233 and 12244 is 149780852.

LCM(12233,12244) = 149780852

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Least Common Multiple of 12233 and 12244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12233 and 12244, than apply into the LCM equation.

GCF(12233,12244) = 1
LCM(12233,12244) = ( 12233 × 12244) / 1
LCM(12233,12244) = 149780852 / 1
LCM(12233,12244) = 149780852

Least Common Multiple (LCM) of 12233 and 12244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12233 and 12244. First we will calculate the prime factors of 12233 and 12244.

Prime Factorization of 12233

Prime factors of 12233 are 13, 941. Prime factorization of 12233 in exponential form is:

12233 = 131 × 9411

Prime Factorization of 12244

Prime factors of 12244 are 2, 3061. Prime factorization of 12244 in exponential form is:

12244 = 22 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 12233 and 12244.

LCM(12233,12244) = 131 × 9411 × 22 × 30611
LCM(12233,12244) = 149780852