What is the Least Common Multiple of 13699 and 13713?
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 13699 and 13713 is 26836341.
LCM(13699,13713) = 26836341
Least Common Multiple of 13699 and 13713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13699 and 13713, than apply into the LCM equation.
GCF(13699,13713) = 7
LCM(13699,13713) = ( 13699 × 13713) / 7
LCM(13699,13713) = 187854387 / 7
LCM(13699,13713) = 26836341
Least Common Multiple (LCM) of 13699 and 13713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13699 and 13713. First we will calculate the prime factors of 13699 and 13713.
Prime Factorization of 13699
Prime factors of 13699 are 7, 19, 103. Prime factorization of 13699 in exponential form is:
13699 = 71 × 191 × 1031
Prime Factorization of 13713
Prime factors of 13713 are 3, 7, 653. Prime factorization of 13713 in exponential form is:
13713 = 31 × 71 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 13699 and 13713.
LCM(13699,13713) = 71 × 191 × 1031 × 31 × 6531
LCM(13699,13713) = 26836341
Related Least Common Multiples of 13699
- LCM of 13699 and 13703
- LCM of 13699 and 13704
- LCM of 13699 and 13705
- LCM of 13699 and 13706
- LCM of 13699 and 13707
- LCM of 13699 and 13708
- LCM of 13699 and 13709
- LCM of 13699 and 13710
- LCM of 13699 and 13711
- LCM of 13699 and 13712
- LCM of 13699 and 13713
- LCM of 13699 and 13714
- LCM of 13699 and 13715
- LCM of 13699 and 13716
- LCM of 13699 and 13717
- LCM of 13699 and 13718
- LCM of 13699 and 13719
Related Least Common Multiples of 13713
- LCM of 13713 and 13717
- LCM of 13713 and 13718
- LCM of 13713 and 13719
- LCM of 13713 and 13720
- LCM of 13713 and 13721
- LCM of 13713 and 13722
- LCM of 13713 and 13723
- LCM of 13713 and 13724
- LCM of 13713 and 13725
- LCM of 13713 and 13726
- LCM of 13713 and 13727
- LCM of 13713 and 13728
- LCM of 13713 and 13729
- LCM of 13713 and 13730
- LCM of 13713 and 13731
- LCM of 13713 and 13732
- LCM of 13713 and 13733