What is the Least Common Multiple of 11591 and 11609?
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 11591 and 11609 is 134559919.
LCM(11591,11609) = 134559919
Least Common Multiple of 11591 and 11609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11591 and 11609, than apply into the LCM equation.
GCF(11591,11609) = 1
LCM(11591,11609) = ( 11591 × 11609) / 1
LCM(11591,11609) = 134559919 / 1
LCM(11591,11609) = 134559919
Least Common Multiple (LCM) of 11591 and 11609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11591 and 11609. First we will calculate the prime factors of 11591 and 11609.
Prime Factorization of 11591
Prime factors of 11591 are 67, 173. Prime factorization of 11591 in exponential form is:
11591 = 671 × 1731
Prime Factorization of 11609
Prime factors of 11609 are 13, 19, 47. Prime factorization of 11609 in exponential form is:
11609 = 131 × 191 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 11591 and 11609.
LCM(11591,11609) = 671 × 1731 × 131 × 191 × 471
LCM(11591,11609) = 134559919
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