What is the Least Common Multiple of 13741 and 13745?
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 13741 and 13745 is 188870045.
LCM(13741,13745) = 188870045
Least Common Multiple of 13741 and 13745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13741 and 13745, than apply into the LCM equation.
GCF(13741,13745) = 1
LCM(13741,13745) = ( 13741 × 13745) / 1
LCM(13741,13745) = 188870045 / 1
LCM(13741,13745) = 188870045
Least Common Multiple (LCM) of 13741 and 13745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13741 and 13745. First we will calculate the prime factors of 13741 and 13745.
Prime Factorization of 13741
Prime factors of 13741 are 7, 13, 151. Prime factorization of 13741 in exponential form is:
13741 = 71 × 131 × 1511
Prime Factorization of 13745
Prime factors of 13745 are 5, 2749. Prime factorization of 13745 in exponential form is:
13745 = 51 × 27491
Now multiplying the highest exponent prime factors to calculate the LCM of 13741 and 13745.
LCM(13741,13745) = 71 × 131 × 1511 × 51 × 27491
LCM(13741,13745) = 188870045
Related Least Common Multiples of 13741
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Related Least Common Multiples of 13745
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