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What is the Least Common Multiple of 11310 and 11318?

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 11310 and 11318 is 64003290.

LCM(11310,11318) = 64003290

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Least Common Multiple of 11310 and 11318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11310 and 11318, than apply into the LCM equation.

GCF(11310,11318) = 2
LCM(11310,11318) = ( 11310 × 11318) / 2
LCM(11310,11318) = 128006580 / 2
LCM(11310,11318) = 64003290

Least Common Multiple (LCM) of 11310 and 11318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11310 and 11318. First we will calculate the prime factors of 11310 and 11318.

Prime Factorization of 11310

Prime factors of 11310 are 2, 3, 5, 13, 29. Prime factorization of 11310 in exponential form is:

11310 = 21 × 31 × 51 × 131 × 291

Prime Factorization of 11318

Prime factors of 11318 are 2, 5659. Prime factorization of 11318 in exponential form is:

11318 = 21 × 56591

Now multiplying the highest exponent prime factors to calculate the LCM of 11310 and 11318.

LCM(11310,11318) = 21 × 31 × 51 × 131 × 291 × 56591
LCM(11310,11318) = 64003290