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What is the Least Common Multiple of 56323 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 56323 and 56338 is 3173125174.

LCM(56323,56338) = 3173125174

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Least Common Multiple of 56323 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 56323 and 56338, than apply into the LCM equation.

GCF(56323,56338) = 1
LCM(56323,56338) = ( 56323 × 56338) / 1
LCM(56323,56338) = 3173125174 / 1
LCM(56323,56338) = 3173125174

Least Common Multiple (LCM) of 56323 and 56338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56323 and 56338. First we will calculate the prime factors of 56323 and 56338.

Prime Factorization of 56323

Prime factors of 56323 are 151, 373. Prime factorization of 56323 in exponential form is:

56323 = 1511 × 3731

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 56323 and 56338.

LCM(56323,56338) = 1511 × 3731 × 21 × 171 × 16571
LCM(56323,56338) = 3173125174