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What is the Least Common Multiple of 11627 and 11643?

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 11627 and 11643 is 135373161.

LCM(11627,11643) = 135373161

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Least Common Multiple of 11627 and 11643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11627 and 11643, than apply into the LCM equation.

GCF(11627,11643) = 1
LCM(11627,11643) = ( 11627 × 11643) / 1
LCM(11627,11643) = 135373161 / 1
LCM(11627,11643) = 135373161

Least Common Multiple (LCM) of 11627 and 11643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11627 and 11643. First we will calculate the prime factors of 11627 and 11643.

Prime Factorization of 11627

Prime factors of 11627 are 7, 11, 151. Prime factorization of 11627 in exponential form is:

11627 = 71 × 111 × 1511

Prime Factorization of 11643

Prime factors of 11643 are 3, 3881. Prime factorization of 11643 in exponential form is:

11643 = 31 × 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 11627 and 11643.

LCM(11627,11643) = 71 × 111 × 1511 × 31 × 38811
LCM(11627,11643) = 135373161