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What is the Least Common Multiple of 56328 and 56332?

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 56328 and 56332 is 793267224.

LCM(56328,56332) = 793267224

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Least Common Multiple of 56328 and 56332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56328 and 56332, than apply into the LCM equation.

GCF(56328,56332) = 4
LCM(56328,56332) = ( 56328 × 56332) / 4
LCM(56328,56332) = 3173068896 / 4
LCM(56328,56332) = 793267224

Least Common Multiple (LCM) of 56328 and 56332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56328 and 56332. First we will calculate the prime factors of 56328 and 56332.

Prime Factorization of 56328

Prime factors of 56328 are 2, 3, 2347. Prime factorization of 56328 in exponential form is:

56328 = 23 × 31 × 23471

Prime Factorization of 56332

Prime factors of 56332 are 2, 14083. Prime factorization of 56332 in exponential form is:

56332 = 22 × 140831

Now multiplying the highest exponent prime factors to calculate the LCM of 56328 and 56332.

LCM(56328,56332) = 23 × 31 × 23471 × 140831
LCM(56328,56332) = 793267224