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What is the Least Common Multiple of 66686 and 66699?

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 66686 and 66699 is 4447889514.

LCM(66686,66699) = 4447889514

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Least Common Multiple of 66686 and 66699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66686 and 66699, than apply into the LCM equation.

GCF(66686,66699) = 1
LCM(66686,66699) = ( 66686 × 66699) / 1
LCM(66686,66699) = 4447889514 / 1
LCM(66686,66699) = 4447889514

Least Common Multiple (LCM) of 66686 and 66699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66686 and 66699. First we will calculate the prime factors of 66686 and 66699.

Prime Factorization of 66686

Prime factors of 66686 are 2, 33343. Prime factorization of 66686 in exponential form is:

66686 = 21 × 333431

Prime Factorization of 66699

Prime factors of 66699 are 3, 7411. Prime factorization of 66699 in exponential form is:

66699 = 32 × 74111

Now multiplying the highest exponent prime factors to calculate the LCM of 66686 and 66699.

LCM(66686,66699) = 21 × 333431 × 32 × 74111
LCM(66686,66699) = 4447889514