Least Common Multiple of 8401 and 8406
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8401 and 8406 the smallest integer that is 70618806 that is divisible by both numbers.
Least Common Multiple (LCM) of 8401 and 8406 is 70618806.
LCM(8401,8406) = 70618806
LCM of 8401 and 8406
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8401 and 8406 by Prime method
- Least Common Multiple of 8401 and 8406 with GCF Formula
LCM of 8401 and 8406 is 70618806
Least common multiple can be found by multiplying the highest exponent prime factors of 8401 and 8406. First we will calculate the prime factors of 8401 and 8406.
Prime Factorization of 8401
| 31 | 8401 |
| 271 | 271 |
| 1 |
Prime factors of 8401 are 31,271. Prime factorization of 8401 in exponential form is:
8401 = 311×2711
Prime Factorization of 8406
| 2 | 8406 |
| 3 | 4203 |
| 3 | 1401 |
| 467 | 467 |
| 1 |
Prime factors of 8406 are 2, 3,467. Prime factorization of 8406 in exponential form is:
8406 = 21×32×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 8401 and 8406.
LCM(8401,8406) = 21×32×311×2711×4671
LCM(8401,8406) = 70618806
Factors of 8401
List of positive integer factors of 8401 that divides 8401 without a remainder.
1, 31, 271, 8401
Factors of 8406
List of positive integer factors of 8406 that divides 8406 without a remainder.
1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406
Least Common Multiple of 8401 and 8406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8401 and 8406, than apply into the LCM equation.
GCF(8401,8406) = 1
LCM(8401,8406) = ( 8401 × 8406) / 1
LCM(8401,8406) = 70618806 / 1
LCM(8401,8406) = 70618806
Properties of LCM 8401 and 8406
(i) The LCM of 8406 and 8401 is associative
LCM of 8401 and 8406 = LCM of 8406 and 8401
Related Least Common Multiples of 8401
Related Least Common Multiples of 8406
Frequently Asked Questions on LCM of 8401 and 8406
1. What is the LCM of 8401 and 8406?
Answer: LCM of 8401 and 8406 is 70618806.
2. What are the Factors of 8401?
Answer: Factors of 8401 are 1, 31, 271, 8401. There are 4 integers that are factors of 8401. The greatest factor of 8401 is 8401.
3. What are the Factors of 8406?
Answer: Factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406. There are 12 integers that are factors of 8406. The greatest factor of 8406 is 8406.
4. How to Find the LCM of 8401 and 8406?
Answer:
Least Common Multiple of 8401 and 8406 = 70618806
Step 1: Find the prime factorization of 8401
8401 = 31 x 271
Step 2: Find the prime factorization of 8406
8406 = 2 x 3 x 3 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70618806 = 2 x 3 x 3 x 31 x 271 x 467
Step 4: Therefore, the least common multiple of 8401 and 8406 is 70618806.