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What is the Least Common Multiple of 11516 and 11523?

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 11516 and 11523 is 132698868.

LCM(11516,11523) = 132698868

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Least Common Multiple of 11516 and 11523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11516 and 11523, than apply into the LCM equation.

GCF(11516,11523) = 1
LCM(11516,11523) = ( 11516 × 11523) / 1
LCM(11516,11523) = 132698868 / 1
LCM(11516,11523) = 132698868

Least Common Multiple (LCM) of 11516 and 11523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11516 and 11523. First we will calculate the prime factors of 11516 and 11523.

Prime Factorization of 11516

Prime factors of 11516 are 2, 2879. Prime factorization of 11516 in exponential form is:

11516 = 22 × 28791

Prime Factorization of 11523

Prime factors of 11523 are 3, 23, 167. Prime factorization of 11523 in exponential form is:

11523 = 31 × 231 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 11516 and 11523.

LCM(11516,11523) = 22 × 28791 × 31 × 231 × 1671
LCM(11516,11523) = 132698868