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What is the Least Common Multiple of 12324 and 12343?

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 12324 and 12343 is 152115132.

LCM(12324,12343) = 152115132

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Least Common Multiple of 12324 and 12343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12324 and 12343, than apply into the LCM equation.

GCF(12324,12343) = 1
LCM(12324,12343) = ( 12324 × 12343) / 1
LCM(12324,12343) = 152115132 / 1
LCM(12324,12343) = 152115132

Least Common Multiple (LCM) of 12324 and 12343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12324 and 12343. First we will calculate the prime factors of 12324 and 12343.

Prime Factorization of 12324

Prime factors of 12324 are 2, 3, 13, 79. Prime factorization of 12324 in exponential form is:

12324 = 22 × 31 × 131 × 791

Prime Factorization of 12343

Prime factors of 12343 are 12343. Prime factorization of 12343 in exponential form is:

12343 = 123431

Now multiplying the highest exponent prime factors to calculate the LCM of 12324 and 12343.

LCM(12324,12343) = 22 × 31 × 131 × 791 × 123431
LCM(12324,12343) = 152115132