What is the Least Common Multiple of 9591 and 9611?
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 9591 and 9611 is 92179101.
LCM(9591,9611) = 92179101
Least Common Multiple of 9591 and 9611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9591 and 9611, than apply into the LCM equation.
GCF(9591,9611) = 1
LCM(9591,9611) = ( 9591 × 9611) / 1
LCM(9591,9611) = 92179101 / 1
LCM(9591,9611) = 92179101
Least Common Multiple (LCM) of 9591 and 9611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9591 and 9611. First we will calculate the prime factors of 9591 and 9611.
Prime Factorization of 9591
Prime factors of 9591 are 3, 23, 139. Prime factorization of 9591 in exponential form is:
9591 = 31 × 231 × 1391
Prime Factorization of 9611
Prime factors of 9611 are 7, 1373. Prime factorization of 9611 in exponential form is:
9611 = 71 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 9591 and 9611.
LCM(9591,9611) = 31 × 231 × 1391 × 71 × 13731
LCM(9591,9611) = 92179101
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