Least Common Multiple of 26313 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 26313 and 26318 the smallest integer that is 692505534 that is divisible by both numbers.
Least Common Multiple (LCM) of 26313 and 26318 is 692505534.
LCM(26313,26318) = 692505534
LCM of 26313 and 26318
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26313 and 26318 by Prime method
- Least Common Multiple of 26313 and 26318 with GCF Formula
LCM of 26313 and 26318 is 692505534
Least common multiple can be found by multiplying the highest exponent prime factors of 26313 and 26318. First we will calculate the prime factors of 26313 and 26318.
Prime Factorization of 26313
| 3 | 26313 |
| 7 | 8771 |
| 7 | 1253 |
| 179 | 179 |
| 1 |
Prime factors of 26313 are 3, 7,179. Prime factorization of 26313 in exponential form is:
26313 = 31×72×1791
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 26313 and 26318.
LCM(26313,26318) = 21×31×72×1791×131591
LCM(26313,26318) = 692505534
Factors of 26313
List of positive integer factors of 26313 that divides 26313 without a remainder.
1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313
Factors of 26318
List of positive integer factors of 26318 that divides 26318 without a remainder.
1, 2, 13159, 26318
Least Common Multiple of 26313 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 26313 and 26318, than apply into the LCM equation.
GCF(26313,26318) = 1
LCM(26313,26318) = ( 26313 × 26318) / 1
LCM(26313,26318) = 692505534 / 1
LCM(26313,26318) = 692505534
Properties of LCM 26313 and 26318
(i) The LCM of 26318 and 26313 is associative
LCM of 26313 and 26318 = LCM of 26318 and 26313
Related Least Common Multiples of 26313
Related Least Common Multiples of 26318
Frequently Asked Questions on LCM of 26313 and 26318
1. What is the LCM of 26313 and 26318?
Answer: LCM of 26313 and 26318 is 692505534.
2. What are the Factors of 26313?
Answer: Factors of 26313 are 1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313. There are 12 integers that are factors of 26313. The greatest factor of 26313 is 26313.
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 26313 and 26318?
Answer:
Least Common Multiple of 26313 and 26318 = 692505534
Step 1: Find the prime factorization of 26313
26313 = 3 x 7 x 7 x 179
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 = 692505534 = 2 x 3 x 7 x 7 x 179 x 13159
Step 4: Therefore, the least common multiple of 26313 and 26318 is 692505534.