What is the Least Common Multiple of 11665 and 11676?
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 11665 and 11676 is 136200540.
LCM(11665,11676) = 136200540
Least Common Multiple of 11665 and 11676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11665 and 11676, than apply into the LCM equation.
GCF(11665,11676) = 1
LCM(11665,11676) = ( 11665 × 11676) / 1
LCM(11665,11676) = 136200540 / 1
LCM(11665,11676) = 136200540
Least Common Multiple (LCM) of 11665 and 11676 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11665 and 11676. First we will calculate the prime factors of 11665 and 11676.
Prime Factorization of 11665
Prime factors of 11665 are 5, 2333. Prime factorization of 11665 in exponential form is:
11665 = 51 × 23331
Prime Factorization of 11676
Prime factors of 11676 are 2, 3, 7, 139. Prime factorization of 11676 in exponential form is:
11676 = 22 × 31 × 71 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 11665 and 11676.
LCM(11665,11676) = 51 × 23331 × 22 × 31 × 71 × 1391
LCM(11665,11676) = 136200540
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