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What is the Least Common Multiple of 12417 and 12431?

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 12431 is 154355727.

LCM(12417,12431) = 154355727

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Least Common Multiple of 12417 and 12431 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 12431, than apply into the LCM equation.

GCF(12417,12431) = 1
LCM(12417,12431) = ( 12417 × 12431) / 1
LCM(12417,12431) = 154355727 / 1
LCM(12417,12431) = 154355727

Least Common Multiple (LCM) of 12417 and 12431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12417 and 12431. First we will calculate the prime factors of 12417 and 12431.

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 12431

Prime factors of 12431 are 31, 401. Prime factorization of 12431 in exponential form is:

12431 = 311 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 12417 and 12431.

LCM(12417,12431) = 31 × 41391 × 311 × 4011
LCM(12417,12431) = 154355727