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What is the Least Common Multiple of 65817 and 65835?

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 65835 is 481451355.

LCM(65817,65835) = 481451355

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Least Common Multiple of 65817 and 65835 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 65835, than apply into the LCM equation.

GCF(65817,65835) = 9
LCM(65817,65835) = ( 65817 × 65835) / 9
LCM(65817,65835) = 4333062195 / 9
LCM(65817,65835) = 481451355

Least Common Multiple (LCM) of 65817 and 65835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65817 and 65835. First we will calculate the prime factors of 65817 and 65835.

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 65835

Prime factors of 65835 are 3, 5, 7, 11, 19. Prime factorization of 65835 in exponential form is:

65835 = 32 × 51 × 71 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 65817 and 65835.

LCM(65817,65835) = 32 × 711 × 1031 × 51 × 71 × 111 × 191
LCM(65817,65835) = 481451355