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What is the Least Common Multiple of 686 and 704?

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 686 and 704 is 241472.

LCM(686,704) = 241472

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Least Common Multiple of 686 and 704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 686 and 704, than apply into the LCM equation.

GCF(686,704) = 2
LCM(686,704) = ( 686 × 704) / 2
LCM(686,704) = 482944 / 2
LCM(686,704) = 241472

Least Common Multiple (LCM) of 686 and 704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 704. First we will calculate the prime factors of 686 and 704.

Prime Factorization of 686

Prime factors of 686 are 2, 7. Prime factorization of 686 in exponential form is:

686 = 21 × 73

Prime Factorization of 704

Prime factors of 704 are 2, 11. Prime factorization of 704 in exponential form is:

704 = 26 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 686 and 704.

LCM(686,704) = 26 × 73 × 111
LCM(686,704) = 241472