What is the Least Common Multiple of 14688 and 14695?
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 14688 and 14695 is 215840160.
LCM(14688,14695) = 215840160
Least Common Multiple of 14688 and 14695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14688 and 14695, than apply into the LCM equation.
GCF(14688,14695) = 1
LCM(14688,14695) = ( 14688 × 14695) / 1
LCM(14688,14695) = 215840160 / 1
LCM(14688,14695) = 215840160
Least Common Multiple (LCM) of 14688 and 14695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14688 and 14695. First we will calculate the prime factors of 14688 and 14695.
Prime Factorization of 14688
Prime factors of 14688 are 2, 3, 17. Prime factorization of 14688 in exponential form is:
14688 = 25 × 33 × 171
Prime Factorization of 14695
Prime factors of 14695 are 5, 2939. Prime factorization of 14695 in exponential form is:
14695 = 51 × 29391
Now multiplying the highest exponent prime factors to calculate the LCM of 14688 and 14695.
LCM(14688,14695) = 25 × 33 × 171 × 51 × 29391
LCM(14688,14695) = 215840160
Related Least Common Multiples of 14688
- LCM of 14688 and 14692
- LCM of 14688 and 14693
- LCM of 14688 and 14694
- LCM of 14688 and 14695
- LCM of 14688 and 14696
- LCM of 14688 and 14697
- LCM of 14688 and 14698
- LCM of 14688 and 14699
- LCM of 14688 and 14700
- LCM of 14688 and 14701
- LCM of 14688 and 14702
- LCM of 14688 and 14703
- LCM of 14688 and 14704
- LCM of 14688 and 14705
- LCM of 14688 and 14706
- LCM of 14688 and 14707
- LCM of 14688 and 14708
Related Least Common Multiples of 14695
- LCM of 14695 and 14699
- LCM of 14695 and 14700
- LCM of 14695 and 14701
- LCM of 14695 and 14702
- LCM of 14695 and 14703
- LCM of 14695 and 14704
- LCM of 14695 and 14705
- LCM of 14695 and 14706
- LCM of 14695 and 14707
- LCM of 14695 and 14708
- LCM of 14695 and 14709
- LCM of 14695 and 14710
- LCM of 14695 and 14711
- LCM of 14695 and 14712
- LCM of 14695 and 14713
- LCM of 14695 and 14714
- LCM of 14695 and 14715