What is the Least Common Multiple of 11647 and 11659?
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 11647 and 11659 is 135792373.
LCM(11647,11659) = 135792373
Least Common Multiple of 11647 and 11659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11647 and 11659, than apply into the LCM equation.
GCF(11647,11659) = 1
LCM(11647,11659) = ( 11647 × 11659) / 1
LCM(11647,11659) = 135792373 / 1
LCM(11647,11659) = 135792373
Least Common Multiple (LCM) of 11647 and 11659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11647 and 11659. First we will calculate the prime factors of 11647 and 11659.
Prime Factorization of 11647
Prime factors of 11647 are 19, 613. Prime factorization of 11647 in exponential form is:
11647 = 191 × 6131
Prime Factorization of 11659
Prime factors of 11659 are 89, 131. Prime factorization of 11659 in exponential form is:
11659 = 891 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 11647 and 11659.
LCM(11647,11659) = 191 × 6131 × 891 × 1311
LCM(11647,11659) = 135792373
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