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What is the Least Common Multiple of 11514 and 11531?

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 11514 and 11531 is 132767934.

LCM(11514,11531) = 132767934

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Least Common Multiple of 11514 and 11531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11514 and 11531, than apply into the LCM equation.

GCF(11514,11531) = 1
LCM(11514,11531) = ( 11514 × 11531) / 1
LCM(11514,11531) = 132767934 / 1
LCM(11514,11531) = 132767934

Least Common Multiple (LCM) of 11514 and 11531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11514 and 11531. First we will calculate the prime factors of 11514 and 11531.

Prime Factorization of 11514

Prime factors of 11514 are 2, 3, 19, 101. Prime factorization of 11514 in exponential form is:

11514 = 21 × 31 × 191 × 1011

Prime Factorization of 11531

Prime factors of 11531 are 13, 887. Prime factorization of 11531 in exponential form is:

11531 = 131 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 11514 and 11531.

LCM(11514,11531) = 21 × 31 × 191 × 1011 × 131 × 8871
LCM(11514,11531) = 132767934