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What is the Least Common Multiple of 65797 and 65814?

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 65797 and 65814 is 4330363758.

LCM(65797,65814) = 4330363758

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Least Common Multiple of 65797 and 65814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65797 and 65814, than apply into the LCM equation.

GCF(65797,65814) = 1
LCM(65797,65814) = ( 65797 × 65814) / 1
LCM(65797,65814) = 4330363758 / 1
LCM(65797,65814) = 4330363758

Least Common Multiple (LCM) of 65797 and 65814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65797 and 65814. First we will calculate the prime factors of 65797 and 65814.

Prime Factorization of 65797

Prime factors of 65797 are 19, 3463. Prime factorization of 65797 in exponential form is:

65797 = 191 × 34631

Prime Factorization of 65814

Prime factors of 65814 are 2, 3, 7, 1567. Prime factorization of 65814 in exponential form is:

65814 = 21 × 31 × 71 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 65797 and 65814.

LCM(65797,65814) = 191 × 34631 × 21 × 31 × 71 × 15671
LCM(65797,65814) = 4330363758