Least Common Multiple of 26403 and 26407
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26403 and 26407 the smallest integer that is 697224021 that is divisible by both numbers.
Least Common Multiple (LCM) of 26403 and 26407 is 697224021.
LCM(26403,26407) = 697224021
LCM of 26403 and 26407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26403 and 26407 by Prime method
- Least Common Multiple of 26403 and 26407 with GCF Formula
LCM of 26403 and 26407 is 697224021
Least common multiple can be found by multiplying the highest exponent prime factors of 26403 and 26407. First we will calculate the prime factors of 26403 and 26407.
Prime Factorization of 26403
| 3 | 26403 |
| 13 | 8801 |
| 677 | 677 |
| 1 |
Prime factors of 26403 are 3, 13,677. Prime factorization of 26403 in exponential form is:
26403 = 31×131×6771
Prime Factorization of 26407
| 26407 | 26407 |
| 1 |
Prime factors of 26407 are 26407. Prime factorization of 26407 in exponential form is:
26407 = 264071
Now multiplying the highest exponent prime factors to calculate the LCM of 26403 and 26407.
LCM(26403,26407) = 31×131×6771×264071
LCM(26403,26407) = 697224021
Factors of 26403
List of positive integer factors of 26403 that divides 26403 without a remainder.
1, 3, 13, 39, 677, 2031, 8801, 26403
Factors of 26407
List of positive integer factors of 26407 that divides 26407 without a remainder.
1, 26407
Least Common Multiple of 26403 and 26407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26403 and 26407, than apply into the LCM equation.
GCF(26403,26407) = 1
LCM(26403,26407) = ( 26403 × 26407) / 1
LCM(26403,26407) = 697224021 / 1
LCM(26403,26407) = 697224021
Properties of LCM 26403 and 26407
(i) The LCM of 26407 and 26403 is associative
LCM of 26403 and 26407 = LCM of 26407 and 26403
Related Least Common Multiples of 26403
Related Least Common Multiples of 26407
Frequently Asked Questions on LCM of 26403 and 26407
1. What is the LCM of 26403 and 26407?
Answer: LCM of 26403 and 26407 is 697224021.
2. What are the Factors of 26403?
Answer: Factors of 26403 are 1, 3, 13, 39, 677, 2031, 8801, 26403. There are 8 integers that are factors of 26403. The greatest factor of 26403 is 26403.
3. What are the Factors of 26407?
Answer: Factors of 26407 are 1, 26407. There are 2 integers that are factors of 26407. The greatest factor of 26407 is 26407.
4. How to Find the LCM of 26403 and 26407?
Answer:
Least Common Multiple of 26403 and 26407 = 697224021
Step 1: Find the prime factorization of 26403
26403 = 3 x 13 x 677
Step 2: Find the prime factorization of 26407
26407 = 26407
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 697224021 = 3 x 13 x 677 x 26407
Step 4: Therefore, the least common multiple of 26403 and 26407 is 697224021.