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What is the Least Common Multiple of 66694 and 66704?

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 66694 and 66704 is 2224378288.

LCM(66694,66704) = 2224378288

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Least Common Multiple of 66694 and 66704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66694 and 66704, than apply into the LCM equation.

GCF(66694,66704) = 2
LCM(66694,66704) = ( 66694 × 66704) / 2
LCM(66694,66704) = 4448756576 / 2
LCM(66694,66704) = 2224378288

Least Common Multiple (LCM) of 66694 and 66704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66694 and 66704. First we will calculate the prime factors of 66694 and 66704.

Prime Factorization of 66694

Prime factors of 66694 are 2, 33347. Prime factorization of 66694 in exponential form is:

66694 = 21 × 333471

Prime Factorization of 66704

Prime factors of 66704 are 2, 11, 379. Prime factorization of 66704 in exponential form is:

66704 = 24 × 111 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 66694 and 66704.

LCM(66694,66704) = 24 × 333471 × 111 × 3791
LCM(66694,66704) = 2224378288