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What is the Least Common Multiple of 11501 and 11505?

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 11501 and 11505 is 132319005.

LCM(11501,11505) = 132319005

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Least Common Multiple of 11501 and 11505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11501 and 11505, than apply into the LCM equation.

GCF(11501,11505) = 1
LCM(11501,11505) = ( 11501 × 11505) / 1
LCM(11501,11505) = 132319005 / 1
LCM(11501,11505) = 132319005

Least Common Multiple (LCM) of 11501 and 11505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11501 and 11505. First we will calculate the prime factors of 11501 and 11505.

Prime Factorization of 11501

Prime factors of 11501 are 7, 31, 53. Prime factorization of 11501 in exponential form is:

11501 = 71 × 311 × 531

Prime Factorization of 11505

Prime factors of 11505 are 3, 5, 13, 59. Prime factorization of 11505 in exponential form is:

11505 = 31 × 51 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 11501 and 11505.

LCM(11501,11505) = 71 × 311 × 531 × 31 × 51 × 131 × 591
LCM(11501,11505) = 132319005