Least Common Multiple of 26314 and 26321
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 26321 the smallest integer that is 692610794 that is divisible by both numbers.
Least Common Multiple (LCM) of 26314 and 26321 is 692610794.
LCM(26314,26321) = 692610794
LCM of 26314 and 26321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26314 and 26321 by Prime method
- Least Common Multiple of 26314 and 26321 with GCF Formula
LCM of 26314 and 26321 is 692610794
Least common multiple can be found by multiplying the highest exponent prime factors of 26314 and 26321. First we will calculate the prime factors of 26314 and 26321.
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 26321
| 26321 | 26321 |
| 1 |
Prime factors of 26321 are 26321. Prime factorization of 26321 in exponential form is:
26321 = 263211
Now multiplying the highest exponent prime factors to calculate the LCM of 26314 and 26321.
LCM(26314,26321) = 21×591×2231×263211
LCM(26314,26321) = 692610794
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 26321
List of positive integer factors of 26321 that divides 26321 without a remainder.
1, 26321
Least Common Multiple of 26314 and 26321 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 26321, than apply into the LCM equation.
GCF(26314,26321) = 1
LCM(26314,26321) = ( 26314 × 26321) / 1
LCM(26314,26321) = 692610794 / 1
LCM(26314,26321) = 692610794
Properties of LCM 26314 and 26321
(i) The LCM of 26321 and 26314 is associative
LCM of 26314 and 26321 = LCM of 26321 and 26314
Related Least Common Multiples of 26314
Related Least Common Multiples of 26321
Frequently Asked Questions on LCM of 26314 and 26321
1. What is the LCM of 26314 and 26321?
Answer: LCM of 26314 and 26321 is 692610794.
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 26321?
Answer: Factors of 26321 are 1, 26321. There are 2 integers that are factors of 26321. The greatest factor of 26321 is 26321.
4. How to Find the LCM of 26314 and 26321?
Answer:
Least Common Multiple of 26314 and 26321 = 692610794
Step 1: Find the prime factorization of 26314
26314 = 2 x 59 x 223
Step 2: Find the prime factorization of 26321
26321 = 26321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 692610794 = 2 x 59 x 223 x 26321
Step 4: Therefore, the least common multiple of 26314 and 26321 is 692610794.