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What is the Least Common Multiple of 66686 and 66703?

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 66703 is 4448156258.

LCM(66686,66703) = 4448156258

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Least Common Multiple of 66686 and 66703 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 66703, than apply into the LCM equation.

GCF(66686,66703) = 1
LCM(66686,66703) = ( 66686 × 66703) / 1
LCM(66686,66703) = 4448156258 / 1
LCM(66686,66703) = 4448156258

Least Common Multiple (LCM) of 66686 and 66703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66686 and 66703. First we will calculate the prime factors of 66686 and 66703.

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 66703

Prime factors of 66703 are 7, 13, 733. Prime factorization of 66703 in exponential form is:

66703 = 71 × 131 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 66686 and 66703.

LCM(66686,66703) = 21 × 333431 × 71 × 131 × 7331
LCM(66686,66703) = 4448156258