What is the Least Common Multiple of 11697 and 11705?
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 11697 and 11705 is 136913385.
LCM(11697,11705) = 136913385
Least Common Multiple of 11697 and 11705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11697 and 11705, than apply into the LCM equation.
GCF(11697,11705) = 1
LCM(11697,11705) = ( 11697 × 11705) / 1
LCM(11697,11705) = 136913385 / 1
LCM(11697,11705) = 136913385
Least Common Multiple (LCM) of 11697 and 11705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11697 and 11705. First we will calculate the prime factors of 11697 and 11705.
Prime Factorization of 11697
Prime factors of 11697 are 3, 7, 557. Prime factorization of 11697 in exponential form is:
11697 = 31 × 71 × 5571
Prime Factorization of 11705
Prime factors of 11705 are 5, 2341. Prime factorization of 11705 in exponential form is:
11705 = 51 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 11697 and 11705.
LCM(11697,11705) = 31 × 71 × 5571 × 51 × 23411
LCM(11697,11705) = 136913385
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