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What is the Least Common Multiple of 65713 and 65733?

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 65713 and 65733 is 4319512629.

LCM(65713,65733) = 4319512629

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Least Common Multiple of 65713 and 65733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65713 and 65733, than apply into the LCM equation.

GCF(65713,65733) = 1
LCM(65713,65733) = ( 65713 × 65733) / 1
LCM(65713,65733) = 4319512629 / 1
LCM(65713,65733) = 4319512629

Least Common Multiple (LCM) of 65713 and 65733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65713 and 65733. First we will calculate the prime factors of 65713 and 65733.

Prime Factorization of 65713

Prime factors of 65713 are 65713. Prime factorization of 65713 in exponential form is:

65713 = 657131

Prime Factorization of 65733

Prime factors of 65733 are 3, 21911. Prime factorization of 65733 in exponential form is:

65733 = 31 × 219111

Now multiplying the highest exponent prime factors to calculate the LCM of 65713 and 65733.

LCM(65713,65733) = 657131 × 31 × 219111
LCM(65713,65733) = 4319512629