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What is the Least Common Multiple of 12235 and 12241?

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 12235 and 12241 is 149768635.

LCM(12235,12241) = 149768635

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Least Common Multiple of 12235 and 12241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12235 and 12241, than apply into the LCM equation.

GCF(12235,12241) = 1
LCM(12235,12241) = ( 12235 × 12241) / 1
LCM(12235,12241) = 149768635 / 1
LCM(12235,12241) = 149768635

Least Common Multiple (LCM) of 12235 and 12241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12235 and 12241. First we will calculate the prime factors of 12235 and 12241.

Prime Factorization of 12235

Prime factors of 12235 are 5, 2447. Prime factorization of 12235 in exponential form is:

12235 = 51 × 24471

Prime Factorization of 12241

Prime factors of 12241 are 12241. Prime factorization of 12241 in exponential form is:

12241 = 122411

Now multiplying the highest exponent prime factors to calculate the LCM of 12235 and 12241.

LCM(12235,12241) = 51 × 24471 × 122411
LCM(12235,12241) = 149768635