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What is the Least Common Multiple of 68409 and 68418?

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 68409 and 68418 is 520045218.

LCM(68409,68418) = 520045218

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Least Common Multiple of 68409 and 68418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68409 and 68418, than apply into the LCM equation.

GCF(68409,68418) = 9
LCM(68409,68418) = ( 68409 × 68418) / 9
LCM(68409,68418) = 4680406962 / 9
LCM(68409,68418) = 520045218

Least Common Multiple (LCM) of 68409 and 68418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68409 and 68418. First we will calculate the prime factors of 68409 and 68418.

Prime Factorization of 68409

Prime factors of 68409 are 3, 11, 691. Prime factorization of 68409 in exponential form is:

68409 = 32 × 111 × 6911

Prime Factorization of 68418

Prime factors of 68418 are 2, 3, 7, 181. Prime factorization of 68418 in exponential form is:

68418 = 21 × 33 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 68409 and 68418.

LCM(68409,68418) = 33 × 111 × 6911 × 21 × 71 × 1811
LCM(68409,68418) = 520045218