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What is the Least Common Multiple of 11311 and 11330?

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 11311 and 11330 is 128153630.

LCM(11311,11330) = 128153630

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Least Common Multiple of 11311 and 11330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11311 and 11330, than apply into the LCM equation.

GCF(11311,11330) = 1
LCM(11311,11330) = ( 11311 × 11330) / 1
LCM(11311,11330) = 128153630 / 1
LCM(11311,11330) = 128153630

Least Common Multiple (LCM) of 11311 and 11330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11311 and 11330. First we will calculate the prime factors of 11311 and 11330.

Prime Factorization of 11311

Prime factors of 11311 are 11311. Prime factorization of 11311 in exponential form is:

11311 = 113111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 11311 and 11330.

LCM(11311,11330) = 113111 × 21 × 51 × 111 × 1031
LCM(11311,11330) = 128153630