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What is the Least Common Multiple of 65817 and 65829?

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 65817 and 65829 is 1444222431.

LCM(65817,65829) = 1444222431

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Least Common Multiple of 65817 and 65829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65817 and 65829, than apply into the LCM equation.

GCF(65817,65829) = 3
LCM(65817,65829) = ( 65817 × 65829) / 3
LCM(65817,65829) = 4332667293 / 3
LCM(65817,65829) = 1444222431

Least Common Multiple (LCM) of 65817 and 65829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65817 and 65829. First we will calculate the prime factors of 65817 and 65829.

Prime Factorization of 65817

Prime factors of 65817 are 3, 71, 103. Prime factorization of 65817 in exponential form is:

65817 = 32 × 711 × 1031

Prime Factorization of 65829

Prime factors of 65829 are 3, 21943. Prime factorization of 65829 in exponential form is:

65829 = 31 × 219431

Now multiplying the highest exponent prime factors to calculate the LCM of 65817 and 65829.

LCM(65817,65829) = 32 × 711 × 1031 × 219431
LCM(65817,65829) = 1444222431