What is the Least Common Multiple of 16733 and 16745?
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 16733 and 16745 is 280194085.
LCM(16733,16745) = 280194085
Least Common Multiple of 16733 and 16745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16733 and 16745, than apply into the LCM equation.
GCF(16733,16745) = 1
LCM(16733,16745) = ( 16733 × 16745) / 1
LCM(16733,16745) = 280194085 / 1
LCM(16733,16745) = 280194085
Least Common Multiple (LCM) of 16733 and 16745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16733 and 16745. First we will calculate the prime factors of 16733 and 16745.
Prime Factorization of 16733
Prime factors of 16733 are 29, 577. Prime factorization of 16733 in exponential form is:
16733 = 291 × 5771
Prime Factorization of 16745
Prime factors of 16745 are 5, 17, 197. Prime factorization of 16745 in exponential form is:
16745 = 51 × 171 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 16733 and 16745.
LCM(16733,16745) = 291 × 5771 × 51 × 171 × 1971
LCM(16733,16745) = 280194085
Related Least Common Multiples of 16733
- LCM of 16733 and 16737
- LCM of 16733 and 16738
- LCM of 16733 and 16739
- LCM of 16733 and 16740
- LCM of 16733 and 16741
- LCM of 16733 and 16742
- LCM of 16733 and 16743
- LCM of 16733 and 16744
- LCM of 16733 and 16745
- LCM of 16733 and 16746
- LCM of 16733 and 16747
- LCM of 16733 and 16748
- LCM of 16733 and 16749
- LCM of 16733 and 16750
- LCM of 16733 and 16751
- LCM of 16733 and 16752
- LCM of 16733 and 16753
Related Least Common Multiples of 16745
- LCM of 16745 and 16749
- LCM of 16745 and 16750
- LCM of 16745 and 16751
- LCM of 16745 and 16752
- LCM of 16745 and 16753
- LCM of 16745 and 16754
- LCM of 16745 and 16755
- LCM of 16745 and 16756
- LCM of 16745 and 16757
- LCM of 16745 and 16758
- LCM of 16745 and 16759
- LCM of 16745 and 16760
- LCM of 16745 and 16761
- LCM of 16745 and 16762
- LCM of 16745 and 16763
- LCM of 16745 and 16764
- LCM of 16745 and 16765