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What is the Least Common Multiple of 66899 and 66917?

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 66899 and 66917 is 4476680383.

LCM(66899,66917) = 4476680383

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Least Common Multiple of 66899 and 66917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66899 and 66917, than apply into the LCM equation.

GCF(66899,66917) = 1
LCM(66899,66917) = ( 66899 × 66917) / 1
LCM(66899,66917) = 4476680383 / 1
LCM(66899,66917) = 4476680383

Least Common Multiple (LCM) of 66899 and 66917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66899 and 66917. First we will calculate the prime factors of 66899 and 66917.

Prime Factorization of 66899

Prime factors of 66899 are 7, 19, 503. Prime factorization of 66899 in exponential form is:

66899 = 71 × 191 × 5031

Prime Factorization of 66917

Prime factors of 66917 are 61, 1097. Prime factorization of 66917 in exponential form is:

66917 = 611 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 66899 and 66917.

LCM(66899,66917) = 71 × 191 × 5031 × 611 × 10971
LCM(66899,66917) = 4476680383