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What is the Least Common Multiple of 56352 and 56358?

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 56352 and 56358 is 529314336.

LCM(56352,56358) = 529314336

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Least Common Multiple of 56352 and 56358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56352 and 56358, than apply into the LCM equation.

GCF(56352,56358) = 6
LCM(56352,56358) = ( 56352 × 56358) / 6
LCM(56352,56358) = 3175886016 / 6
LCM(56352,56358) = 529314336

Least Common Multiple (LCM) of 56352 and 56358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56352 and 56358. First we will calculate the prime factors of 56352 and 56358.

Prime Factorization of 56352

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

56352 = 25 × 31 × 5871

Prime Factorization of 56358

Prime factors of 56358 are 2, 3, 31, 101. Prime factorization of 56358 in exponential form is:

56358 = 21 × 32 × 311 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 56352 and 56358.

LCM(56352,56358) = 25 × 32 × 5871 × 311 × 1011
LCM(56352,56358) = 529314336