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What is the Least Common Multiple of 56332 and 56340?

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 56332 and 56340 is 793436220.

LCM(56332,56340) = 793436220

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Least Common Multiple of 56332 and 56340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56332 and 56340, than apply into the LCM equation.

GCF(56332,56340) = 4
LCM(56332,56340) = ( 56332 × 56340) / 4
LCM(56332,56340) = 3173744880 / 4
LCM(56332,56340) = 793436220

Least Common Multiple (LCM) of 56332 and 56340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56332 and 56340. First we will calculate the prime factors of 56332 and 56340.

Prime Factorization of 56332

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

56332 = 22 × 140831

Prime Factorization of 56340

Prime factors of 56340 are 2, 3, 5, 313. Prime factorization of 56340 in exponential form is:

56340 = 22 × 32 × 51 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 56332 and 56340.

LCM(56332,56340) = 22 × 140831 × 32 × 51 × 3131
LCM(56332,56340) = 793436220