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What is the Least Common Multiple of 6697 and 6707?

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 6697 and 6707 is 44916779.

LCM(6697,6707) = 44916779

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Least Common Multiple of 6697 and 6707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6697 and 6707, than apply into the LCM equation.

GCF(6697,6707) = 1
LCM(6697,6707) = ( 6697 × 6707) / 1
LCM(6697,6707) = 44916779 / 1
LCM(6697,6707) = 44916779

Least Common Multiple (LCM) of 6697 and 6707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6697 and 6707. First we will calculate the prime factors of 6697 and 6707.

Prime Factorization of 6697

Prime factors of 6697 are 37, 181. Prime factorization of 6697 in exponential form is:

6697 = 371 × 1811

Prime Factorization of 6707

Prime factors of 6707 are 19, 353. Prime factorization of 6707 in exponential form is:

6707 = 191 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 6697 and 6707.

LCM(6697,6707) = 371 × 1811 × 191 × 3531
LCM(6697,6707) = 44916779