What is the Least Common Multiple of 11366 and 11371?
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 11366 and 11371 is 129242786.
LCM(11366,11371) = 129242786
Least Common Multiple of 11366 and 11371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11366 and 11371, than apply into the LCM equation.
GCF(11366,11371) = 1
LCM(11366,11371) = ( 11366 × 11371) / 1
LCM(11366,11371) = 129242786 / 1
LCM(11366,11371) = 129242786
Least Common Multiple (LCM) of 11366 and 11371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11366 and 11371. First we will calculate the prime factors of 11366 and 11371.
Prime Factorization of 11366
Prime factors of 11366 are 2, 5683. Prime factorization of 11366 in exponential form is:
11366 = 21 × 56831
Prime Factorization of 11371
Prime factors of 11371 are 83, 137. Prime factorization of 11371 in exponential form is:
11371 = 831 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 11366 and 11371.
LCM(11366,11371) = 21 × 56831 × 831 × 1371
LCM(11366,11371) = 129242786
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