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What is the Least Common Multiple of 11461 and 11472?

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 11461 and 11472 is 131480592.

LCM(11461,11472) = 131480592

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Least Common Multiple of 11461 and 11472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11461 and 11472, than apply into the LCM equation.

GCF(11461,11472) = 1
LCM(11461,11472) = ( 11461 × 11472) / 1
LCM(11461,11472) = 131480592 / 1
LCM(11461,11472) = 131480592

Least Common Multiple (LCM) of 11461 and 11472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11461 and 11472. First we will calculate the prime factors of 11461 and 11472.

Prime Factorization of 11461

Prime factors of 11461 are 73, 157. Prime factorization of 11461 in exponential form is:

11461 = 731 × 1571

Prime Factorization of 11472

Prime factors of 11472 are 2, 3, 239. Prime factorization of 11472 in exponential form is:

11472 = 24 × 31 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 11461 and 11472.

LCM(11461,11472) = 731 × 1571 × 24 × 31 × 2391
LCM(11461,11472) = 131480592