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What is the Least Common Multiple of 12307 and 12322?

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 12307 and 12322 is 151646854.

LCM(12307,12322) = 151646854

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Least Common Multiple of 12307 and 12322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12307 and 12322, than apply into the LCM equation.

GCF(12307,12322) = 1
LCM(12307,12322) = ( 12307 × 12322) / 1
LCM(12307,12322) = 151646854 / 1
LCM(12307,12322) = 151646854

Least Common Multiple (LCM) of 12307 and 12322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12307 and 12322. First we will calculate the prime factors of 12307 and 12322.

Prime Factorization of 12307

Prime factors of 12307 are 31, 397. Prime factorization of 12307 in exponential form is:

12307 = 311 × 3971

Prime Factorization of 12322

Prime factors of 12322 are 2, 61, 101. Prime factorization of 12322 in exponential form is:

12322 = 21 × 611 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 12307 and 12322.

LCM(12307,12322) = 311 × 3971 × 21 × 611 × 1011
LCM(12307,12322) = 151646854