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What is the Least Common Multiple of 11745 and 11749?

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 11745 and 11749 is 137992005.

LCM(11745,11749) = 137992005

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Least Common Multiple of 11745 and 11749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11745 and 11749, than apply into the LCM equation.

GCF(11745,11749) = 1
LCM(11745,11749) = ( 11745 × 11749) / 1
LCM(11745,11749) = 137992005 / 1
LCM(11745,11749) = 137992005

Least Common Multiple (LCM) of 11745 and 11749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11745 and 11749. First we will calculate the prime factors of 11745 and 11749.

Prime Factorization of 11745

Prime factors of 11745 are 3, 5, 29. Prime factorization of 11745 in exponential form is:

11745 = 34 × 51 × 291

Prime Factorization of 11749

Prime factors of 11749 are 31, 379. Prime factorization of 11749 in exponential form is:

11749 = 311 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 11745 and 11749.

LCM(11745,11749) = 34 × 51 × 291 × 311 × 3791
LCM(11745,11749) = 137992005