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What is the Least Common Multiple of 11659 and 11671?

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 11659 and 11671 is 136072189.

LCM(11659,11671) = 136072189

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Least Common Multiple of 11659 and 11671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11659 and 11671, than apply into the LCM equation.

GCF(11659,11671) = 1
LCM(11659,11671) = ( 11659 × 11671) / 1
LCM(11659,11671) = 136072189 / 1
LCM(11659,11671) = 136072189

Least Common Multiple (LCM) of 11659 and 11671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11659 and 11671. First we will calculate the prime factors of 11659 and 11671.

Prime Factorization of 11659

Prime factors of 11659 are 89, 131. Prime factorization of 11659 in exponential form is:

11659 = 891 × 1311

Prime Factorization of 11671

Prime factors of 11671 are 11, 1061. Prime factorization of 11671 in exponential form is:

11671 = 111 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 11659 and 11671.

LCM(11659,11671) = 891 × 1311 × 111 × 10611
LCM(11659,11671) = 136072189