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What is the Least Common Multiple of 67667 and 67686?

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 67667 and 67686 is 4580108562.

LCM(67667,67686) = 4580108562

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Least Common Multiple of 67667 and 67686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67667 and 67686, than apply into the LCM equation.

GCF(67667,67686) = 1
LCM(67667,67686) = ( 67667 × 67686) / 1
LCM(67667,67686) = 4580108562 / 1
LCM(67667,67686) = 4580108562

Least Common Multiple (LCM) of 67667 and 67686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67667 and 67686. First we will calculate the prime factors of 67667 and 67686.

Prime Factorization of 67667

Prime factors of 67667 are 157, 431. Prime factorization of 67667 in exponential form is:

67667 = 1571 × 4311

Prime Factorization of 67686

Prime factors of 67686 are 2, 3, 29, 389. Prime factorization of 67686 in exponential form is:

67686 = 21 × 31 × 291 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 67667 and 67686.

LCM(67667,67686) = 1571 × 4311 × 21 × 31 × 291 × 3891
LCM(67667,67686) = 4580108562