What is the Least Common Multiple of 11713 and 11725?
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 11713 and 11725 is 137334925.
LCM(11713,11725) = 137334925
Least Common Multiple of 11713 and 11725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11713 and 11725, than apply into the LCM equation.
GCF(11713,11725) = 1
LCM(11713,11725) = ( 11713 × 11725) / 1
LCM(11713,11725) = 137334925 / 1
LCM(11713,11725) = 137334925
Least Common Multiple (LCM) of 11713 and 11725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11713 and 11725. First we will calculate the prime factors of 11713 and 11725.
Prime Factorization of 11713
Prime factors of 11713 are 13, 17, 53. Prime factorization of 11713 in exponential form is:
11713 = 131 × 171 × 531
Prime Factorization of 11725
Prime factors of 11725 are 5, 7, 67. Prime factorization of 11725 in exponential form is:
11725 = 52 × 71 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 11713 and 11725.
LCM(11713,11725) = 131 × 171 × 531 × 52 × 71 × 671
LCM(11713,11725) = 137334925
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