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What is the Least Common Multiple of 56565 and 56573?

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 56565 and 56573 is 3200051745.

LCM(56565,56573) = 3200051745

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Least Common Multiple of 56565 and 56573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56565 and 56573, than apply into the LCM equation.

GCF(56565,56573) = 1
LCM(56565,56573) = ( 56565 × 56573) / 1
LCM(56565,56573) = 3200051745 / 1
LCM(56565,56573) = 3200051745

Least Common Multiple (LCM) of 56565 and 56573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56565 and 56573. First we will calculate the prime factors of 56565 and 56573.

Prime Factorization of 56565

Prime factors of 56565 are 3, 5, 419. Prime factorization of 56565 in exponential form is:

56565 = 33 × 51 × 4191

Prime Factorization of 56573

Prime factors of 56573 are 11, 37, 139. Prime factorization of 56573 in exponential form is:

56573 = 111 × 371 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 56565 and 56573.

LCM(56565,56573) = 33 × 51 × 4191 × 111 × 371 × 1391
LCM(56565,56573) = 3200051745