Least Common Multiple of 16401 and 16406
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 16401 and 16406 the smallest integer that is 269074806 that is divisible by both numbers.
Least Common Multiple (LCM) of 16401 and 16406 is 269074806.
LCM(16401,16406) = 269074806
LCM of 16401 and 16406
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 16401 and 16406 by Prime method
- Least Common Multiple of 16401 and 16406 with GCF Formula
LCM of 16401 and 16406 is 269074806
Least common multiple can be found by multiplying the highest exponent prime factors of 16401 and 16406. First we will calculate the prime factors of 16401 and 16406.
Prime Factorization of 16401
| 3 | 16401 |
| 7 | 5467 |
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 16401 are 3, 7, 11,71. Prime factorization of 16401 in exponential form is:
16401 = 31×71×111×711
Prime Factorization of 16406
| 2 | 16406 |
| 13 | 8203 |
| 631 | 631 |
| 1 |
Prime factors of 16406 are 2, 13,631. Prime factorization of 16406 in exponential form is:
16406 = 21×131×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 16401 and 16406.
LCM(16401,16406) = 21×31×71×111×131×711×6311
LCM(16401,16406) = 269074806
Factors of 16401
List of positive integer factors of 16401 that divides 16401 without a remainder.
1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467, 16401
Factors of 16406
List of positive integer factors of 16406 that divides 16406 without a remainder.
1, 2, 13, 26, 631, 1262, 8203, 16406
Least Common Multiple of 16401 and 16406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16401 and 16406, than apply into the LCM equation.
GCF(16401,16406) = 1
LCM(16401,16406) = ( 16401 × 16406) / 1
LCM(16401,16406) = 269074806 / 1
LCM(16401,16406) = 269074806
Properties of LCM 16401 and 16406
(i) The LCM of 16406 and 16401 is associative
LCM of 16401 and 16406 = LCM of 16406 and 16401
Related Least Common Multiples of 16401
Related Least Common Multiples of 16406
Frequently Asked Questions on LCM of 16401 and 16406
1. What is the LCM of 16401 and 16406?
Answer: LCM of 16401 and 16406 is 269074806.
2. What are the Factors of 16401?
Answer: Factors of 16401 are 1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467, 16401. There are 16 integers that are factors of 16401. The greatest factor of 16401 is 16401.
3. What are the Factors of 16406?
Answer: Factors of 16406 are 1, 2, 13, 26, 631, 1262, 8203, 16406. There are 8 integers that are factors of 16406. The greatest factor of 16406 is 16406.
4. How to Find the LCM of 16401 and 16406?
Answer:
Least Common Multiple of 16401 and 16406 = 269074806
Step 1: Find the prime factorization of 16401
16401 = 3 x 7 x 11 x 71
Step 2: Find the prime factorization of 16406
16406 = 2 x 13 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 269074806 = 2 x 3 x 7 x 11 x 13 x 71 x 631
Step 4: Therefore, the least common multiple of 16401 and 16406 is 269074806.