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What is the Least Common Multiple of 11466 and 11474?

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 11466 and 11474 is 65780442.

LCM(11466,11474) = 65780442

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Least Common Multiple of 11466 and 11474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11466 and 11474, than apply into the LCM equation.

GCF(11466,11474) = 2
LCM(11466,11474) = ( 11466 × 11474) / 2
LCM(11466,11474) = 131560884 / 2
LCM(11466,11474) = 65780442

Least Common Multiple (LCM) of 11466 and 11474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11466 and 11474. First we will calculate the prime factors of 11466 and 11474.

Prime Factorization of 11466

Prime factors of 11466 are 2, 3, 7, 13. Prime factorization of 11466 in exponential form is:

11466 = 21 × 32 × 72 × 131

Prime Factorization of 11474

Prime factors of 11474 are 2, 5737. Prime factorization of 11474 in exponential form is:

11474 = 21 × 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 11466 and 11474.

LCM(11466,11474) = 21 × 32 × 72 × 131 × 57371
LCM(11466,11474) = 65780442