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What is the Least Common Multiple of 56332 and 56337?

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 56337 is 3173575884.

LCM(56332,56337) = 3173575884

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Least Common Multiple of 56332 and 56337 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 56337, than apply into the LCM equation.

GCF(56332,56337) = 1
LCM(56332,56337) = ( 56332 × 56337) / 1
LCM(56332,56337) = 3173575884 / 1
LCM(56332,56337) = 3173575884

Least Common Multiple (LCM) of 56332 and 56337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56332 and 56337. First we will calculate the prime factors of 56332 and 56337.

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 56337

Prime factors of 56337 are 3, 89, 211. Prime factorization of 56337 in exponential form is:

56337 = 31 × 891 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 56332 and 56337.

LCM(56332,56337) = 22 × 140831 × 31 × 891 × 2111
LCM(56332,56337) = 3173575884