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What is the Least Common Multiple of 65723 and 65739?

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 65723 and 65739 is 4320564297.

LCM(65723,65739) = 4320564297

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Least Common Multiple of 65723 and 65739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65723 and 65739, than apply into the LCM equation.

GCF(65723,65739) = 1
LCM(65723,65739) = ( 65723 × 65739) / 1
LCM(65723,65739) = 4320564297 / 1
LCM(65723,65739) = 4320564297

Least Common Multiple (LCM) of 65723 and 65739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65723 and 65739. First we will calculate the prime factors of 65723 and 65739.

Prime Factorization of 65723

Prime factors of 65723 are 7, 41, 229. Prime factorization of 65723 in exponential form is:

65723 = 71 × 411 × 2291

Prime Factorization of 65739

Prime factors of 65739 are 3, 17, 1289. Prime factorization of 65739 in exponential form is:

65739 = 31 × 171 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 65723 and 65739.

LCM(65723,65739) = 71 × 411 × 2291 × 31 × 171 × 12891
LCM(65723,65739) = 4320564297