What is the Least Common Multiple of 16890 and 16906?
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 16890 and 16906 is 142771170.
LCM(16890,16906) = 142771170
Least Common Multiple of 16890 and 16906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16890 and 16906, than apply into the LCM equation.
GCF(16890,16906) = 2
LCM(16890,16906) = ( 16890 × 16906) / 2
LCM(16890,16906) = 285542340 / 2
LCM(16890,16906) = 142771170
Least Common Multiple (LCM) of 16890 and 16906 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16890 and 16906. First we will calculate the prime factors of 16890 and 16906.
Prime Factorization of 16890
Prime factors of 16890 are 2, 3, 5, 563. Prime factorization of 16890 in exponential form is:
16890 = 21 × 31 × 51 × 5631
Prime Factorization of 16906
Prime factors of 16906 are 2, 79, 107. Prime factorization of 16906 in exponential form is:
16906 = 21 × 791 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 16890 and 16906.
LCM(16890,16906) = 21 × 31 × 51 × 5631 × 791 × 1071
LCM(16890,16906) = 142771170
Related Least Common Multiples of 16890
- LCM of 16890 and 16894
- LCM of 16890 and 16895
- LCM of 16890 and 16896
- LCM of 16890 and 16897
- LCM of 16890 and 16898
- LCM of 16890 and 16899
- LCM of 16890 and 16900
- LCM of 16890 and 16901
- LCM of 16890 and 16902
- LCM of 16890 and 16903
- LCM of 16890 and 16904
- LCM of 16890 and 16905
- LCM of 16890 and 16906
- LCM of 16890 and 16907
- LCM of 16890 and 16908
- LCM of 16890 and 16909
- LCM of 16890 and 16910
Related Least Common Multiples of 16906
- LCM of 16906 and 16910
- LCM of 16906 and 16911
- LCM of 16906 and 16912
- LCM of 16906 and 16913
- LCM of 16906 and 16914
- LCM of 16906 and 16915
- LCM of 16906 and 16916
- LCM of 16906 and 16917
- LCM of 16906 and 16918
- LCM of 16906 and 16919
- LCM of 16906 and 16920
- LCM of 16906 and 16921
- LCM of 16906 and 16922
- LCM of 16906 and 16923
- LCM of 16906 and 16924
- LCM of 16906 and 16925
- LCM of 16906 and 16926