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What is the Least Common Multiple of 65729 and 65742?

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 65729 and 65742 is 4321155918.

LCM(65729,65742) = 4321155918

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Least Common Multiple of 65729 and 65742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65729 and 65742, than apply into the LCM equation.

GCF(65729,65742) = 1
LCM(65729,65742) = ( 65729 × 65742) / 1
LCM(65729,65742) = 4321155918 / 1
LCM(65729,65742) = 4321155918

Least Common Multiple (LCM) of 65729 and 65742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65729 and 65742. First we will calculate the prime factors of 65729 and 65742.

Prime Factorization of 65729

Prime factors of 65729 are 65729. Prime factorization of 65729 in exponential form is:

65729 = 657291

Prime Factorization of 65742

Prime factors of 65742 are 2, 3, 10957. Prime factorization of 65742 in exponential form is:

65742 = 21 × 31 × 109571

Now multiplying the highest exponent prime factors to calculate the LCM of 65729 and 65742.

LCM(65729,65742) = 657291 × 21 × 31 × 109571
LCM(65729,65742) = 4321155918