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What is the Least Common Multiple of 56337 and 56354?

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 56337 and 56354 is 3174815298.

LCM(56337,56354) = 3174815298

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Least Common Multiple of 56337 and 56354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56337 and 56354, than apply into the LCM equation.

GCF(56337,56354) = 1
LCM(56337,56354) = ( 56337 × 56354) / 1
LCM(56337,56354) = 3174815298 / 1
LCM(56337,56354) = 3174815298

Least Common Multiple (LCM) of 56337 and 56354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56337 and 56354. First we will calculate the prime factors of 56337 and 56354.

Prime Factorization of 56337

Prime factors of 56337 are 3, 89, 211. Prime factorization of 56337 in exponential form is:

56337 = 31 × 891 × 2111

Prime Factorization of 56354

Prime factors of 56354 are 2, 19, 1483. Prime factorization of 56354 in exponential form is:

56354 = 21 × 191 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 56337 and 56354.

LCM(56337,56354) = 31 × 891 × 2111 × 21 × 191 × 14831
LCM(56337,56354) = 3174815298