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What is the Least Common Multiple of 11507 and 11524?

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 11507 and 11524 is 132606668.

LCM(11507,11524) = 132606668

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Least Common Multiple of 11507 and 11524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11507 and 11524, than apply into the LCM equation.

GCF(11507,11524) = 1
LCM(11507,11524) = ( 11507 × 11524) / 1
LCM(11507,11524) = 132606668 / 1
LCM(11507,11524) = 132606668

Least Common Multiple (LCM) of 11507 and 11524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11507 and 11524. First we will calculate the prime factors of 11507 and 11524.

Prime Factorization of 11507

Prime factors of 11507 are 37, 311. Prime factorization of 11507 in exponential form is:

11507 = 371 × 3111

Prime Factorization of 11524

Prime factors of 11524 are 2, 43, 67. Prime factorization of 11524 in exponential form is:

11524 = 22 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11507 and 11524.

LCM(11507,11524) = 371 × 3111 × 22 × 431 × 671
LCM(11507,11524) = 132606668