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What is the Least Common Multiple of 56346 and 56352?

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 56346 and 56352 is 529201632.

LCM(56346,56352) = 529201632

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Least Common Multiple of 56346 and 56352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56346 and 56352, than apply into the LCM equation.

GCF(56346,56352) = 6
LCM(56346,56352) = ( 56346 × 56352) / 6
LCM(56346,56352) = 3175209792 / 6
LCM(56346,56352) = 529201632

Least Common Multiple (LCM) of 56346 and 56352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56346 and 56352. First we will calculate the prime factors of 56346 and 56352.

Prime Factorization of 56346

Prime factors of 56346 are 2, 3, 9391. Prime factorization of 56346 in exponential form is:

56346 = 21 × 31 × 93911

Prime Factorization of 56352

Prime factors of 56352 are 2, 3, 587. Prime factorization of 56352 in exponential form is:

56352 = 25 × 31 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 56346 and 56352.

LCM(56346,56352) = 25 × 31 × 93911 × 5871
LCM(56346,56352) = 529201632