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What is the Least Common Multiple of 6708 and 6727?

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 6708 and 6727 is 45124716.

LCM(6708,6727) = 45124716

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Least Common Multiple of 6708 and 6727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6708 and 6727, than apply into the LCM equation.

GCF(6708,6727) = 1
LCM(6708,6727) = ( 6708 × 6727) / 1
LCM(6708,6727) = 45124716 / 1
LCM(6708,6727) = 45124716

Least Common Multiple (LCM) of 6708 and 6727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6708 and 6727. First we will calculate the prime factors of 6708 and 6727.

Prime Factorization of 6708

Prime factors of 6708 are 2, 3, 13, 43. Prime factorization of 6708 in exponential form is:

6708 = 22 × 31 × 131 × 431

Prime Factorization of 6727

Prime factors of 6727 are 7, 31. Prime factorization of 6727 in exponential form is:

6727 = 71 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 6708 and 6727.

LCM(6708,6727) = 22 × 31 × 131 × 431 × 71 × 312
LCM(6708,6727) = 45124716