What is the Least Common Multiple of 13737 and 13744?
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 13744 is 188801328.
LCM(13737,13744) = 188801328
Least Common Multiple of 13737 and 13744 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 13744, than apply into the LCM equation.
GCF(13737,13744) = 1
LCM(13737,13744) = ( 13737 × 13744) / 1
LCM(13737,13744) = 188801328 / 1
LCM(13737,13744) = 188801328
Least Common Multiple (LCM) of 13737 and 13744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13737 and 13744. First we will calculate the prime factors of 13737 and 13744.
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 13744
Prime factors of 13744 are 2, 859. Prime factorization of 13744 in exponential form is:
13744 = 24 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 13737 and 13744.
LCM(13737,13744) = 31 × 191 × 2411 × 24 × 8591
LCM(13737,13744) = 188801328
Related Least Common Multiples of 13737
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Related Least Common Multiples of 13744
- LCM of 13744 and 13748
- LCM of 13744 and 13749
- LCM of 13744 and 13750
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