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What is the Least Common Multiple of 56330 and 56338?

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 56330 and 56338 is 1586759770.

LCM(56330,56338) = 1586759770

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Least Common Multiple of 56330 and 56338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56330 and 56338, than apply into the LCM equation.

GCF(56330,56338) = 2
LCM(56330,56338) = ( 56330 × 56338) / 2
LCM(56330,56338) = 3173519540 / 2
LCM(56330,56338) = 1586759770

Least Common Multiple (LCM) of 56330 and 56338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56330 and 56338. First we will calculate the prime factors of 56330 and 56338.

Prime Factorization of 56330

Prime factors of 56330 are 2, 5, 43, 131. Prime factorization of 56330 in exponential form is:

56330 = 21 × 51 × 431 × 1311

Prime Factorization of 56338

Prime factors of 56338 are 2, 17, 1657. Prime factorization of 56338 in exponential form is:

56338 = 21 × 171 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 56330 and 56338.

LCM(56330,56338) = 21 × 51 × 431 × 1311 × 171 × 16571
LCM(56330,56338) = 1586759770