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What is the Least Common Multiple of 56547 and 56565?

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 56547 and 56565 is 355397895.

LCM(56547,56565) = 355397895

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Least Common Multiple of 56547 and 56565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56547 and 56565, than apply into the LCM equation.

GCF(56547,56565) = 9
LCM(56547,56565) = ( 56547 × 56565) / 9
LCM(56547,56565) = 3198581055 / 9
LCM(56547,56565) = 355397895

Least Common Multiple (LCM) of 56547 and 56565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56547 and 56565. First we will calculate the prime factors of 56547 and 56565.

Prime Factorization of 56547

Prime factors of 56547 are 3, 61, 103. Prime factorization of 56547 in exponential form is:

56547 = 32 × 611 × 1031

Prime Factorization of 56565

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

56565 = 33 × 51 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 56547 and 56565.

LCM(56547,56565) = 33 × 611 × 1031 × 51 × 4191
LCM(56547,56565) = 355397895