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What is the Least Common Multiple of 12417 and 12427?

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 12417 and 12427 is 154306059.

LCM(12417,12427) = 154306059

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Least Common Multiple of 12417 and 12427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12417 and 12427, than apply into the LCM equation.

GCF(12417,12427) = 1
LCM(12417,12427) = ( 12417 × 12427) / 1
LCM(12417,12427) = 154306059 / 1
LCM(12417,12427) = 154306059

Least Common Multiple (LCM) of 12417 and 12427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12417 and 12427. First we will calculate the prime factors of 12417 and 12427.

Prime Factorization of 12417

Prime factors of 12417 are 3, 4139. Prime factorization of 12417 in exponential form is:

12417 = 31 × 41391

Prime Factorization of 12427

Prime factors of 12427 are 17, 43. Prime factorization of 12427 in exponential form is:

12427 = 172 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 12417 and 12427.

LCM(12417,12427) = 31 × 41391 × 172 × 431
LCM(12417,12427) = 154306059