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What is the Least Common Multiple of 56383 and 56388?

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 56383 and 56388 is 3179324604.

LCM(56383,56388) = 3179324604

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Least Common Multiple of 56383 and 56388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56383 and 56388, than apply into the LCM equation.

GCF(56383,56388) = 1
LCM(56383,56388) = ( 56383 × 56388) / 1
LCM(56383,56388) = 3179324604 / 1
LCM(56383,56388) = 3179324604

Least Common Multiple (LCM) of 56383 and 56388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56383 and 56388. First we will calculate the prime factors of 56383 and 56388.

Prime Factorization of 56383

Prime factors of 56383 are 56383. Prime factorization of 56383 in exponential form is:

56383 = 563831

Prime Factorization of 56388

Prime factors of 56388 are 2, 3, 37, 127. Prime factorization of 56388 in exponential form is:

56388 = 22 × 31 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 56383 and 56388.

LCM(56383,56388) = 563831 × 22 × 31 × 371 × 1271
LCM(56383,56388) = 3179324604