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What is the Least Common Multiple of 66917 and 66923?

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 66917 and 66923 is 4478286391.

LCM(66917,66923) = 4478286391

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Least Common Multiple of 66917 and 66923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66917 and 66923, than apply into the LCM equation.

GCF(66917,66923) = 1
LCM(66917,66923) = ( 66917 × 66923) / 1
LCM(66917,66923) = 4478286391 / 1
LCM(66917,66923) = 4478286391

Least Common Multiple (LCM) of 66917 and 66923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66917 and 66923. First we will calculate the prime factors of 66917 and 66923.

Prime Factorization of 66917

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

66917 = 611 × 10971

Prime Factorization of 66923

Prime factors of 66923 are 66923. Prime factorization of 66923 in exponential form is:

66923 = 669231

Now multiplying the highest exponent prime factors to calculate the LCM of 66917 and 66923.

LCM(66917,66923) = 611 × 10971 × 669231
LCM(66917,66923) = 4478286391