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What is the Least Common Multiple of 56643 and 56647?

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 56643 and 56647 is 3208656021.

LCM(56643,56647) = 3208656021

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Least Common Multiple of 56643 and 56647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56643 and 56647, than apply into the LCM equation.

GCF(56643,56647) = 1
LCM(56643,56647) = ( 56643 × 56647) / 1
LCM(56643,56647) = 3208656021 / 1
LCM(56643,56647) = 3208656021

Least Common Multiple (LCM) of 56643 and 56647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56643 and 56647. First we will calculate the prime factors of 56643 and 56647.

Prime Factorization of 56643

Prime factors of 56643 are 3, 79, 239. Prime factorization of 56643 in exponential form is:

56643 = 31 × 791 × 2391

Prime Factorization of 56647

Prime factors of 56647 are 37, 1531. Prime factorization of 56647 in exponential form is:

56647 = 371 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 56643 and 56647.

LCM(56643,56647) = 31 × 791 × 2391 × 371 × 15311
LCM(56643,56647) = 3208656021