What is the Least Common Multiple of 13688 and 13700?
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 13688 and 13700 is 46881400.
LCM(13688,13700) = 46881400
Least Common Multiple of 13688 and 13700 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13688 and 13700, than apply into the LCM equation.
GCF(13688,13700) = 4
LCM(13688,13700) = ( 13688 × 13700) / 4
LCM(13688,13700) = 187525600 / 4
LCM(13688,13700) = 46881400
Least Common Multiple (LCM) of 13688 and 13700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13688 and 13700. First we will calculate the prime factors of 13688 and 13700.
Prime Factorization of 13688
Prime factors of 13688 are 2, 29, 59. Prime factorization of 13688 in exponential form is:
13688 = 23 × 291 × 591
Prime Factorization of 13700
Prime factors of 13700 are 2, 5, 137. Prime factorization of 13700 in exponential form is:
13700 = 22 × 52 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 13688 and 13700.
LCM(13688,13700) = 23 × 291 × 591 × 52 × 1371
LCM(13688,13700) = 46881400
Related Least Common Multiples of 13688
- LCM of 13688 and 13692
- LCM of 13688 and 13693
- LCM of 13688 and 13694
- LCM of 13688 and 13695
- LCM of 13688 and 13696
- LCM of 13688 and 13697
- LCM of 13688 and 13698
- LCM of 13688 and 13699
- LCM of 13688 and 13700
- LCM of 13688 and 13701
- LCM of 13688 and 13702
- LCM of 13688 and 13703
- LCM of 13688 and 13704
- LCM of 13688 and 13705
- LCM of 13688 and 13706
- LCM of 13688 and 13707
- LCM of 13688 and 13708
Related Least Common Multiples of 13700
- LCM of 13700 and 13704
- LCM of 13700 and 13705
- LCM of 13700 and 13706
- LCM of 13700 and 13707
- LCM of 13700 and 13708
- LCM of 13700 and 13709
- LCM of 13700 and 13710
- LCM of 13700 and 13711
- LCM of 13700 and 13712
- LCM of 13700 and 13713
- LCM of 13700 and 13714
- LCM of 13700 and 13715
- LCM of 13700 and 13716
- LCM of 13700 and 13717
- LCM of 13700 and 13718
- LCM of 13700 and 13719
- LCM of 13700 and 13720