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What is the Least Common Multiple of 11476 and 11484?

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 11476 and 11484 is 32947596.

LCM(11476,11484) = 32947596

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Least Common Multiple of 11476 and 11484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11476 and 11484, than apply into the LCM equation.

GCF(11476,11484) = 4
LCM(11476,11484) = ( 11476 × 11484) / 4
LCM(11476,11484) = 131790384 / 4
LCM(11476,11484) = 32947596

Least Common Multiple (LCM) of 11476 and 11484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11476 and 11484. First we will calculate the prime factors of 11476 and 11484.

Prime Factorization of 11476

Prime factors of 11476 are 2, 19, 151. Prime factorization of 11476 in exponential form is:

11476 = 22 × 191 × 1511

Prime Factorization of 11484

Prime factors of 11484 are 2, 3, 11, 29. Prime factorization of 11484 in exponential form is:

11484 = 22 × 32 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 11476 and 11484.

LCM(11476,11484) = 22 × 191 × 1511 × 32 × 111 × 291
LCM(11476,11484) = 32947596