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What is the Least Common Multiple of 12233 and 12240?

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 12240 is 149731920.

LCM(12233,12240) = 149731920

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Least Common Multiple of 12233 and 12240 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 12240, than apply into the LCM equation.

GCF(12233,12240) = 1
LCM(12233,12240) = ( 12233 × 12240) / 1
LCM(12233,12240) = 149731920 / 1
LCM(12233,12240) = 149731920

Least Common Multiple (LCM) of 12233 and 12240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12233 and 12240. First we will calculate the prime factors of 12233 and 12240.

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 12240

Prime factors of 12240 are 2, 3, 5, 17. Prime factorization of 12240 in exponential form is:

12240 = 24 × 32 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 12233 and 12240.

LCM(12233,12240) = 131 × 9411 × 24 × 32 × 51 × 171
LCM(12233,12240) = 149731920