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What is the Least Common Multiple of 67698 and 67717?

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 67698 and 67717 is 4584305466.

LCM(67698,67717) = 4584305466

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Least Common Multiple of 67698 and 67717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67698 and 67717, than apply into the LCM equation.

GCF(67698,67717) = 1
LCM(67698,67717) = ( 67698 × 67717) / 1
LCM(67698,67717) = 4584305466 / 1
LCM(67698,67717) = 4584305466

Least Common Multiple (LCM) of 67698 and 67717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67698 and 67717. First we will calculate the prime factors of 67698 and 67717.

Prime Factorization of 67698

Prime factors of 67698 are 2, 3, 3761. Prime factorization of 67698 in exponential form is:

67698 = 21 × 32 × 37611

Prime Factorization of 67717

Prime factors of 67717 are 13, 5209. Prime factorization of 67717 in exponential form is:

67717 = 131 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 67698 and 67717.

LCM(67698,67717) = 21 × 32 × 37611 × 131 × 52091
LCM(67698,67717) = 4584305466