What is the Least Common Multiple of 13737 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 13737 and 13745 is 188815065.
LCM(13737,13745) = 188815065
Least Common Multiple of 13737 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 13737 and 13745, than apply into the LCM equation.
GCF(13737,13745) = 1
LCM(13737,13745) = ( 13737 × 13745) / 1
LCM(13737,13745) = 188815065 / 1
LCM(13737,13745) = 188815065
Least Common Multiple (LCM) of 13737 and 13745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13737 and 13745. First we will calculate the prime factors of 13737 and 13745.
Prime Factorization of 13737
Prime factors of 13737 are 3, 19, 241. Prime factorization of 13737 in exponential form is:
13737 = 31 × 191 × 2411
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 13737 and 13745.
LCM(13737,13745) = 31 × 191 × 2411 × 51 × 27491
LCM(13737,13745) = 188815065
Related Least Common Multiples of 13737
- LCM of 13737 and 13741
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- LCM of 13737 and 13745
- LCM of 13737 and 13746
- LCM of 13737 and 13747
- LCM of 13737 and 13748
- LCM of 13737 and 13749
- LCM of 13737 and 13750
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- LCM of 13737 and 13753
- LCM of 13737 and 13754
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Related Least Common Multiples of 13745
- LCM of 13745 and 13749
- LCM of 13745 and 13750
- LCM of 13745 and 13751
- LCM of 13745 and 13752
- LCM of 13745 and 13753
- LCM of 13745 and 13754
- LCM of 13745 and 13755
- LCM of 13745 and 13756
- LCM of 13745 and 13757
- LCM of 13745 and 13758
- LCM of 13745 and 13759
- LCM of 13745 and 13760
- LCM of 13745 and 13761
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- LCM of 13745 and 13765