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What is the Least Common Multiple of 76817 and 76836?

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 76817 and 76836 is 310647948.

LCM(76817,76836) = 310647948

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Least Common Multiple of 76817 and 76836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76817 and 76836, than apply into the LCM equation.

GCF(76817,76836) = 19
LCM(76817,76836) = ( 76817 × 76836) / 19
LCM(76817,76836) = 5902311012 / 19
LCM(76817,76836) = 310647948

Least Common Multiple (LCM) of 76817 and 76836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76817 and 76836. First we will calculate the prime factors of 76817 and 76836.

Prime Factorization of 76817

Prime factors of 76817 are 13, 19, 311. Prime factorization of 76817 in exponential form is:

76817 = 131 × 191 × 3111

Prime Factorization of 76836

Prime factors of 76836 are 2, 3, 19, 337. Prime factorization of 76836 in exponential form is:

76836 = 22 × 31 × 191 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 76817 and 76836.

LCM(76817,76836) = 131 × 191 × 3111 × 22 × 31 × 3371
LCM(76817,76836) = 310647948