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What is the Least Common Multiple of 11668 and 11679?

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 11668 and 11679 is 136270572.

LCM(11668,11679) = 136270572

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Least Common Multiple of 11668 and 11679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11668 and 11679, than apply into the LCM equation.

GCF(11668,11679) = 1
LCM(11668,11679) = ( 11668 × 11679) / 1
LCM(11668,11679) = 136270572 / 1
LCM(11668,11679) = 136270572

Least Common Multiple (LCM) of 11668 and 11679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11668 and 11679. First we will calculate the prime factors of 11668 and 11679.

Prime Factorization of 11668

Prime factors of 11668 are 2, 2917. Prime factorization of 11668 in exponential form is:

11668 = 22 × 29171

Prime Factorization of 11679

Prime factors of 11679 are 3, 17, 229. Prime factorization of 11679 in exponential form is:

11679 = 31 × 171 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 11668 and 11679.

LCM(11668,11679) = 22 × 29171 × 31 × 171 × 2291
LCM(11668,11679) = 136270572