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What is the Least Common Multiple of 11330 and 11341?

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 11330 and 11341 is 11681230.

LCM(11330,11341) = 11681230

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Least Common Multiple of 11330 and 11341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11330 and 11341, than apply into the LCM equation.

GCF(11330,11341) = 11
LCM(11330,11341) = ( 11330 × 11341) / 11
LCM(11330,11341) = 128493530 / 11
LCM(11330,11341) = 11681230

Least Common Multiple (LCM) of 11330 and 11341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11330 and 11341. First we will calculate the prime factors of 11330 and 11341.

Prime Factorization of 11330

Prime factors of 11330 are 2, 5, 11, 103. Prime factorization of 11330 in exponential form is:

11330 = 21 × 51 × 111 × 1031

Prime Factorization of 11341

Prime factors of 11341 are 11, 1031. Prime factorization of 11341 in exponential form is:

11341 = 111 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 11330 and 11341.

LCM(11330,11341) = 21 × 51 × 111 × 1031 × 10311
LCM(11330,11341) = 11681230