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What is the Least Common Multiple of 10328 and 10332?

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 10328 and 10332 is 26677224.

LCM(10328,10332) = 26677224

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Least Common Multiple of 10328 and 10332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10328 and 10332, than apply into the LCM equation.

GCF(10328,10332) = 4
LCM(10328,10332) = ( 10328 × 10332) / 4
LCM(10328,10332) = 106708896 / 4
LCM(10328,10332) = 26677224

Least Common Multiple (LCM) of 10328 and 10332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10328 and 10332. First we will calculate the prime factors of 10328 and 10332.

Prime Factorization of 10328

Prime factors of 10328 are 2, 1291. Prime factorization of 10328 in exponential form is:

10328 = 23 × 12911

Prime Factorization of 10332

Prime factors of 10332 are 2, 3, 7, 41. Prime factorization of 10332 in exponential form is:

10332 = 22 × 32 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10328 and 10332.

LCM(10328,10332) = 23 × 12911 × 32 × 71 × 411
LCM(10328,10332) = 26677224