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What is the Least Common Multiple of 65819 and 65834?

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 65819 and 65834 is 4333128046.

LCM(65819,65834) = 4333128046

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Least Common Multiple of 65819 and 65834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65819 and 65834, than apply into the LCM equation.

GCF(65819,65834) = 1
LCM(65819,65834) = ( 65819 × 65834) / 1
LCM(65819,65834) = 4333128046 / 1
LCM(65819,65834) = 4333128046

Least Common Multiple (LCM) of 65819 and 65834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65819 and 65834. First we will calculate the prime factors of 65819 and 65834.

Prime Factorization of 65819

Prime factors of 65819 are 13, 61, 83. Prime factorization of 65819 in exponential form is:

65819 = 131 × 611 × 831

Prime Factorization of 65834

Prime factors of 65834 are 2, 32917. Prime factorization of 65834 in exponential form is:

65834 = 21 × 329171

Now multiplying the highest exponent prime factors to calculate the LCM of 65819 and 65834.

LCM(65819,65834) = 131 × 611 × 831 × 21 × 329171
LCM(65819,65834) = 4333128046