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What is the Least Common Multiple of 11514 and 11533?

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 11533 is 6988998.

LCM(11514,11533) = 6988998

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Least Common Multiple of 11514 and 11533 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 11533, than apply into the LCM equation.

GCF(11514,11533) = 19
LCM(11514,11533) = ( 11514 × 11533) / 19
LCM(11514,11533) = 132790962 / 19
LCM(11514,11533) = 6988998

Least Common Multiple (LCM) of 11514 and 11533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11514 and 11533. First we will calculate the prime factors of 11514 and 11533.

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 11533

Prime factors of 11533 are 19, 607. Prime factorization of 11533 in exponential form is:

11533 = 191 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 11514 and 11533.

LCM(11514,11533) = 21 × 31 × 191 × 1011 × 6071
LCM(11514,11533) = 6988998