Least Common Multiple of 26314 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 26314 and 26318 the smallest integer that is 346265926 that is divisible by both numbers.
Least Common Multiple (LCM) of 26314 and 26318 is 346265926.
LCM(26314,26318) = 346265926
LCM of 26314 and 26318
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26314 and 26318 by Prime method
- Least Common Multiple of 26314 and 26318 with GCF Formula
LCM of 26314 and 26318 is 346265926
Least common multiple can be found by multiplying the highest exponent prime factors of 26314 and 26318. First we will calculate the prime factors of 26314 and 26318.
Prime Factorization of 26314
| 2 | 26314 |
| 59 | 13157 |
| 223 | 223 |
| 1 |
Prime factors of 26314 are 2, 59,223. Prime factorization of 26314 in exponential form is:
26314 = 21×591×2231
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 26314 and 26318.
LCM(26314,26318) = 21×591×2231×131591
LCM(26314,26318) = 346265926
Factors of 26314
List of positive integer factors of 26314 that divides 26314 without a remainder.
1, 2, 59, 118, 223, 446, 13157, 26314
Factors of 26318
List of positive integer factors of 26318 that divides 26318 without a remainder.
1, 2, 13159, 26318
Least Common Multiple of 26314 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 26314 and 26318, than apply into the LCM equation.
GCF(26314,26318) = 2
LCM(26314,26318) = ( 26314 × 26318) / 2
LCM(26314,26318) = 692531852 / 2
LCM(26314,26318) = 346265926
Properties of LCM 26314 and 26318
(i) The LCM of 26318 and 26314 is associative
LCM of 26314 and 26318 = LCM of 26318 and 26314
Related Least Common Multiples of 26314
Related Least Common Multiples of 26318
Frequently Asked Questions on LCM of 26314 and 26318
1. What is the LCM of 26314 and 26318?
Answer: LCM of 26314 and 26318 is 346265926.
2. What are the Factors of 26314?
Answer: Factors of 26314 are 1, 2, 59, 118, 223, 446, 13157, 26314. There are 8 integers that are factors of 26314. The greatest factor of 26314 is 26314.
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 26314 and 26318?
Answer:
Least Common Multiple of 26314 and 26318 = 346265926
Step 1: Find the prime factorization of 26314
26314 = 2 x 59 x 223
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 = 346265926 = 2 x 59 x 223 x 13159
Step 4: Therefore, the least common multiple of 26314 and 26318 is 346265926.