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What is the Least Common Multiple of 68389 and 68405?

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 68389 and 68405 is 4678149545.

LCM(68389,68405) = 4678149545

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Least Common Multiple of 68389 and 68405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68389 and 68405, than apply into the LCM equation.

GCF(68389,68405) = 1
LCM(68389,68405) = ( 68389 × 68405) / 1
LCM(68389,68405) = 4678149545 / 1
LCM(68389,68405) = 4678149545

Least Common Multiple (LCM) of 68389 and 68405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68389 and 68405. First we will calculate the prime factors of 68389 and 68405.

Prime Factorization of 68389

Prime factors of 68389 are 68389. Prime factorization of 68389 in exponential form is:

68389 = 683891

Prime Factorization of 68405

Prime factors of 68405 are 5, 13681. Prime factorization of 68405 in exponential form is:

68405 = 51 × 136811

Now multiplying the highest exponent prime factors to calculate the LCM of 68389 and 68405.

LCM(68389,68405) = 683891 × 51 × 136811
LCM(68389,68405) = 4678149545