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What is the Least Common Multiple of 12417 and 12428?

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 12428 is 154318476.

LCM(12417,12428) = 154318476

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Least Common Multiple of 12417 and 12428 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 12428, than apply into the LCM equation.

GCF(12417,12428) = 1
LCM(12417,12428) = ( 12417 × 12428) / 1
LCM(12417,12428) = 154318476 / 1
LCM(12417,12428) = 154318476

Least Common Multiple (LCM) of 12417 and 12428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12417 and 12428. First we will calculate the prime factors of 12417 and 12428.

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 12428

Prime factors of 12428 are 2, 13, 239. Prime factorization of 12428 in exponential form is:

12428 = 22 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 12417 and 12428.

LCM(12417,12428) = 31 × 41391 × 22 × 131 × 2391
LCM(12417,12428) = 154318476