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What is the Least Common Multiple of 6688 and 6695?

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 6688 and 6695 is 44776160.

LCM(6688,6695) = 44776160

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Least Common Multiple of 6688 and 6695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6688 and 6695, than apply into the LCM equation.

GCF(6688,6695) = 1
LCM(6688,6695) = ( 6688 × 6695) / 1
LCM(6688,6695) = 44776160 / 1
LCM(6688,6695) = 44776160

Least Common Multiple (LCM) of 6688 and 6695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6688 and 6695. First we will calculate the prime factors of 6688 and 6695.

Prime Factorization of 6688

Prime factors of 6688 are 2, 11, 19. Prime factorization of 6688 in exponential form is:

6688 = 25 × 111 × 191

Prime Factorization of 6695

Prime factors of 6695 are 5, 13, 103. Prime factorization of 6695 in exponential form is:

6695 = 51 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6688 and 6695.

LCM(6688,6695) = 25 × 111 × 191 × 51 × 131 × 1031
LCM(6688,6695) = 44776160