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What is the Least Common Multiple of 11325 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 11325 and 11341 is 128436825.

LCM(11325,11341) = 128436825

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Least Common Multiple of 11325 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 11325 and 11341, than apply into the LCM equation.

GCF(11325,11341) = 1
LCM(11325,11341) = ( 11325 × 11341) / 1
LCM(11325,11341) = 128436825 / 1
LCM(11325,11341) = 128436825

Least Common Multiple (LCM) of 11325 and 11341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11325 and 11341. First we will calculate the prime factors of 11325 and 11341.

Prime Factorization of 11325

Prime factors of 11325 are 3, 5, 151. Prime factorization of 11325 in exponential form is:

11325 = 31 × 52 × 1511

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 11325 and 11341.

LCM(11325,11341) = 31 × 52 × 1511 × 111 × 10311
LCM(11325,11341) = 128436825