What is the Least Common Multiple of 11729 and 11744?
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 11729 and 11744 is 137745376.
LCM(11729,11744) = 137745376
Least Common Multiple of 11729 and 11744 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11729 and 11744, than apply into the LCM equation.
GCF(11729,11744) = 1
LCM(11729,11744) = ( 11729 × 11744) / 1
LCM(11729,11744) = 137745376 / 1
LCM(11729,11744) = 137745376
Least Common Multiple (LCM) of 11729 and 11744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11729 and 11744. First we will calculate the prime factors of 11729 and 11744.
Prime Factorization of 11729
Prime factors of 11729 are 37, 317. Prime factorization of 11729 in exponential form is:
11729 = 371 × 3171
Prime Factorization of 11744
Prime factors of 11744 are 2, 367. Prime factorization of 11744 in exponential form is:
11744 = 25 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 11729 and 11744.
LCM(11729,11744) = 371 × 3171 × 25 × 3671
LCM(11729,11744) = 137745376
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