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What is the Least Common Multiple of 11669 and 11682?

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 11669 and 11682 is 136317258.

LCM(11669,11682) = 136317258

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Least Common Multiple of 11669 and 11682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11669 and 11682, than apply into the LCM equation.

GCF(11669,11682) = 1
LCM(11669,11682) = ( 11669 × 11682) / 1
LCM(11669,11682) = 136317258 / 1
LCM(11669,11682) = 136317258

Least Common Multiple (LCM) of 11669 and 11682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11669 and 11682. First we will calculate the prime factors of 11669 and 11682.

Prime Factorization of 11669

Prime factors of 11669 are 7, 1667. Prime factorization of 11669 in exponential form is:

11669 = 71 × 16671

Prime Factorization of 11682

Prime factors of 11682 are 2, 3, 11, 59. Prime factorization of 11682 in exponential form is:

11682 = 21 × 32 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 11669 and 11682.

LCM(11669,11682) = 71 × 16671 × 21 × 32 × 111 × 591
LCM(11669,11682) = 136317258