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What is the Least Common Multiple of 11331 and 11350?

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 11331 and 11350 is 128606850.

LCM(11331,11350) = 128606850

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Least Common Multiple of 11331 and 11350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11331 and 11350, than apply into the LCM equation.

GCF(11331,11350) = 1
LCM(11331,11350) = ( 11331 × 11350) / 1
LCM(11331,11350) = 128606850 / 1
LCM(11331,11350) = 128606850

Least Common Multiple (LCM) of 11331 and 11350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11331 and 11350. First we will calculate the prime factors of 11331 and 11350.

Prime Factorization of 11331

Prime factors of 11331 are 3, 1259. Prime factorization of 11331 in exponential form is:

11331 = 32 × 12591

Prime Factorization of 11350

Prime factors of 11350 are 2, 5, 227. Prime factorization of 11350 in exponential form is:

11350 = 21 × 52 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 11331 and 11350.

LCM(11331,11350) = 32 × 12591 × 21 × 52 × 2271
LCM(11331,11350) = 128606850