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What is the Least Common Multiple of 12330 and 12338?

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 12330 and 12338 is 76063770.

LCM(12330,12338) = 76063770

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Least Common Multiple of 12330 and 12338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12330 and 12338, than apply into the LCM equation.

GCF(12330,12338) = 2
LCM(12330,12338) = ( 12330 × 12338) / 2
LCM(12330,12338) = 152127540 / 2
LCM(12330,12338) = 76063770

Least Common Multiple (LCM) of 12330 and 12338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12330 and 12338. First we will calculate the prime factors of 12330 and 12338.

Prime Factorization of 12330

Prime factors of 12330 are 2, 3, 5, 137. Prime factorization of 12330 in exponential form is:

12330 = 21 × 32 × 51 × 1371

Prime Factorization of 12338

Prime factors of 12338 are 2, 31, 199. Prime factorization of 12338 in exponential form is:

12338 = 21 × 311 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 12330 and 12338.

LCM(12330,12338) = 21 × 32 × 51 × 1371 × 311 × 1991
LCM(12330,12338) = 76063770