What is the Least Common Multiple of 13689 and 13696?
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 13689 and 13696 is 187484544.
LCM(13689,13696) = 187484544
Least Common Multiple of 13689 and 13696 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13689 and 13696, than apply into the LCM equation.
GCF(13689,13696) = 1
LCM(13689,13696) = ( 13689 × 13696) / 1
LCM(13689,13696) = 187484544 / 1
LCM(13689,13696) = 187484544
Least Common Multiple (LCM) of 13689 and 13696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13689 and 13696. First we will calculate the prime factors of 13689 and 13696.
Prime Factorization of 13689
Prime factors of 13689 are 3, 13. Prime factorization of 13689 in exponential form is:
13689 = 34 × 132
Prime Factorization of 13696
Prime factors of 13696 are 2, 107. Prime factorization of 13696 in exponential form is:
13696 = 27 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 13689 and 13696.
LCM(13689,13696) = 34 × 132 × 27 × 1071
LCM(13689,13696) = 187484544
Related Least Common Multiples of 13689
- LCM of 13689 and 13693
- LCM of 13689 and 13694
- LCM of 13689 and 13695
- LCM of 13689 and 13696
- LCM of 13689 and 13697
- LCM of 13689 and 13698
- LCM of 13689 and 13699
- LCM of 13689 and 13700
- LCM of 13689 and 13701
- LCM of 13689 and 13702
- LCM of 13689 and 13703
- LCM of 13689 and 13704
- LCM of 13689 and 13705
- LCM of 13689 and 13706
- LCM of 13689 and 13707
- LCM of 13689 and 13708
- LCM of 13689 and 13709
Related Least Common Multiples of 13696
- LCM of 13696 and 13700
- LCM of 13696 and 13701
- LCM of 13696 and 13702
- LCM of 13696 and 13703
- LCM of 13696 and 13704
- LCM of 13696 and 13705
- LCM of 13696 and 13706
- LCM of 13696 and 13707
- LCM of 13696 and 13708
- LCM of 13696 and 13709
- LCM of 13696 and 13710
- LCM of 13696 and 13711
- LCM of 13696 and 13712
- LCM of 13696 and 13713
- LCM of 13696 and 13714
- LCM of 13696 and 13715
- LCM of 13696 and 13716