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What is the Least Common Multiple of 56221 and 56227?

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 56221 and 56227 is 3161138167.

LCM(56221,56227) = 3161138167

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Least Common Multiple of 56221 and 56227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56221 and 56227, than apply into the LCM equation.

GCF(56221,56227) = 1
LCM(56221,56227) = ( 56221 × 56227) / 1
LCM(56221,56227) = 3161138167 / 1
LCM(56221,56227) = 3161138167

Least Common Multiple (LCM) of 56221 and 56227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56221 and 56227. First we will calculate the prime factors of 56221 and 56227.

Prime Factorization of 56221

Prime factors of 56221 are 11, 19, 269. Prime factorization of 56221 in exponential form is:

56221 = 111 × 191 × 2691

Prime Factorization of 56227

Prime factors of 56227 are 59, 953. Prime factorization of 56227 in exponential form is:

56227 = 591 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 56221 and 56227.

LCM(56221,56227) = 111 × 191 × 2691 × 591 × 9531
LCM(56221,56227) = 3161138167