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What is the Least Common Multiple of 11397 and 11410?

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 11397 and 11410 is 130039770.

LCM(11397,11410) = 130039770

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Least Common Multiple of 11397 and 11410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11397 and 11410, than apply into the LCM equation.

GCF(11397,11410) = 1
LCM(11397,11410) = ( 11397 × 11410) / 1
LCM(11397,11410) = 130039770 / 1
LCM(11397,11410) = 130039770

Least Common Multiple (LCM) of 11397 and 11410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11397 and 11410. First we will calculate the prime factors of 11397 and 11410.

Prime Factorization of 11397

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

11397 = 31 × 291 × 1311

Prime Factorization of 11410

Prime factors of 11410 are 2, 5, 7, 163. Prime factorization of 11410 in exponential form is:

11410 = 21 × 51 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 11397 and 11410.

LCM(11397,11410) = 31 × 291 × 1311 × 21 × 51 × 71 × 1631
LCM(11397,11410) = 130039770