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What is the Least Common Multiple of 11390 and 11397?

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 11390 and 11397 is 129811830.

LCM(11390,11397) = 129811830

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Least Common Multiple of 11390 and 11397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11390 and 11397, than apply into the LCM equation.

GCF(11390,11397) = 1
LCM(11390,11397) = ( 11390 × 11397) / 1
LCM(11390,11397) = 129811830 / 1
LCM(11390,11397) = 129811830

Least Common Multiple (LCM) of 11390 and 11397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11390 and 11397. First we will calculate the prime factors of 11390 and 11397.

Prime Factorization of 11390

Prime factors of 11390 are 2, 5, 17, 67. Prime factorization of 11390 in exponential form is:

11390 = 21 × 51 × 171 × 671

Prime Factorization of 11397

Prime factors of 11397 are 3, 29, 131. Prime factorization of 11397 in exponential form is:

11397 = 31 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 11390 and 11397.

LCM(11390,11397) = 21 × 51 × 171 × 671 × 31 × 291 × 1311
LCM(11390,11397) = 129811830