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What is the Least Common Multiple of 6677 and 6696?

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 6677 and 6696 is 44709192.

LCM(6677,6696) = 44709192

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Least Common Multiple of 6677 and 6696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6677 and 6696, than apply into the LCM equation.

GCF(6677,6696) = 1
LCM(6677,6696) = ( 6677 × 6696) / 1
LCM(6677,6696) = 44709192 / 1
LCM(6677,6696) = 44709192

Least Common Multiple (LCM) of 6677 and 6696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6677 and 6696. First we will calculate the prime factors of 6677 and 6696.

Prime Factorization of 6677

Prime factors of 6677 are 11, 607. Prime factorization of 6677 in exponential form is:

6677 = 111 × 6071

Prime Factorization of 6696

Prime factors of 6696 are 2, 3, 31. Prime factorization of 6696 in exponential form is:

6696 = 23 × 33 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6677 and 6696.

LCM(6677,6696) = 111 × 6071 × 23 × 33 × 311
LCM(6677,6696) = 44709192