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What is the Least Common Multiple of 66686 and 66693?

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 66693 is 4447489398.

LCM(66686,66693) = 4447489398

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Least Common Multiple of 66686 and 66693 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 66693, than apply into the LCM equation.

GCF(66686,66693) = 1
LCM(66686,66693) = ( 66686 × 66693) / 1
LCM(66686,66693) = 4447489398 / 1
LCM(66686,66693) = 4447489398

Least Common Multiple (LCM) of 66686 and 66693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66686 and 66693. First we will calculate the prime factors of 66686 and 66693.

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 66693

Prime factors of 66693 are 3, 11, 43, 47. Prime factorization of 66693 in exponential form is:

66693 = 31 × 111 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 66686 and 66693.

LCM(66686,66693) = 21 × 333431 × 31 × 111 × 431 × 471
LCM(66686,66693) = 4447489398