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What is the Least Common Multiple of 66641 and 66655?

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 66641 and 66655 is 4441955855.

LCM(66641,66655) = 4441955855

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Least Common Multiple of 66641 and 66655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66641 and 66655, than apply into the LCM equation.

GCF(66641,66655) = 1
LCM(66641,66655) = ( 66641 × 66655) / 1
LCM(66641,66655) = 4441955855 / 1
LCM(66641,66655) = 4441955855

Least Common Multiple (LCM) of 66641 and 66655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66641 and 66655. First we will calculate the prime factors of 66641 and 66655.

Prime Factorization of 66641

Prime factors of 66641 are 103, 647. Prime factorization of 66641 in exponential form is:

66641 = 1031 × 6471

Prime Factorization of 66655

Prime factors of 66655 are 5, 13331. Prime factorization of 66655 in exponential form is:

66655 = 51 × 133311

Now multiplying the highest exponent prime factors to calculate the LCM of 66641 and 66655.

LCM(66641,66655) = 1031 × 6471 × 51 × 133311
LCM(66641,66655) = 4441955855