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What is the Least Common Multiple of 68395 and 68401?

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 68395 and 68401 is 4678286395.

LCM(68395,68401) = 4678286395

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Least Common Multiple of 68395 and 68401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68395 and 68401, than apply into the LCM equation.

GCF(68395,68401) = 1
LCM(68395,68401) = ( 68395 × 68401) / 1
LCM(68395,68401) = 4678286395 / 1
LCM(68395,68401) = 4678286395

Least Common Multiple (LCM) of 68395 and 68401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68395 and 68401. First we will calculate the prime factors of 68395 and 68401.

Prime Factorization of 68395

Prime factors of 68395 are 5, 13679. Prime factorization of 68395 in exponential form is:

68395 = 51 × 136791

Prime Factorization of 68401

Prime factors of 68401 are 73, 937. Prime factorization of 68401 in exponential form is:

68401 = 731 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 68395 and 68401.

LCM(68395,68401) = 51 × 136791 × 731 × 9371
LCM(68395,68401) = 4678286395