Least Common Multiple of 26311 and 26318
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26311 and 26318 the smallest integer that is 692452898 that is divisible by both numbers.
Least Common Multiple (LCM) of 26311 and 26318 is 692452898.
LCM(26311,26318) = 692452898
LCM of 26311 and 26318
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26311 and 26318 by Prime method
- Least Common Multiple of 26311 and 26318 with GCF Formula
LCM of 26311 and 26318 is 692452898
Least common multiple can be found by multiplying the highest exponent prime factors of 26311 and 26318. First we will calculate the prime factors of 26311 and 26318.
Prime Factorization of 26311
| 83 | 26311 |
| 317 | 317 |
| 1 |
Prime factors of 26311 are 83,317. Prime factorization of 26311 in exponential form is:
26311 = 831×3171
Prime Factorization of 26318
| 2 | 26318 |
| 13159 | 13159 |
| 1 |
Prime factors of 26318 are 2,13159. Prime factorization of 26318 in exponential form is:
26318 = 21×131591
Now multiplying the highest exponent prime factors to calculate the LCM of 26311 and 26318.
LCM(26311,26318) = 21×831×3171×131591
LCM(26311,26318) = 692452898
Factors of 26311
List of positive integer factors of 26311 that divides 26311 without a remainder.
1, 83, 317, 26311
Factors of 26318
List of positive integer factors of 26318 that divides 26318 without a remainder.
1, 2, 13159, 26318
Least Common Multiple of 26311 and 26318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26311 and 26318, than apply into the LCM equation.
GCF(26311,26318) = 1
LCM(26311,26318) = ( 26311 × 26318) / 1
LCM(26311,26318) = 692452898 / 1
LCM(26311,26318) = 692452898
Properties of LCM 26311 and 26318
(i) The LCM of 26318 and 26311 is associative
LCM of 26311 and 26318 = LCM of 26318 and 26311
Related Least Common Multiples of 26311
Related Least Common Multiples of 26318
Frequently Asked Questions on LCM of 26311 and 26318
1. What is the LCM of 26311 and 26318?
Answer: LCM of 26311 and 26318 is 692452898.
2. What are the Factors of 26311?
Answer: Factors of 26311 are 1, 83, 317, 26311. There are 4 integers that are factors of 26311. The greatest factor of 26311 is 26311.
3. What are the Factors of 26318?
Answer: Factors of 26318 are 1, 2, 13159, 26318. There are 4 integers that are factors of 26318. The greatest factor of 26318 is 26318.
4. How to Find the LCM of 26311 and 26318?
Answer:
Least Common Multiple of 26311 and 26318 = 692452898
Step 1: Find the prime factorization of 26311
26311 = 83 x 317
Step 2: Find the prime factorization of 26318
26318 = 2 x 13159
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 692452898 = 2 x 83 x 317 x 13159
Step 4: Therefore, the least common multiple of 26311 and 26318 is 692452898.