Least Common Multiple of 36026 and 36031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36026 and 36031 the smallest integer that is 1298052806 that is divisible by both numbers.
Least Common Multiple (LCM) of 36026 and 36031 is 1298052806.
LCM(36026,36031) = 1298052806
LCM of 36026 and 36031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36026 and 36031 by Prime method
- Least Common Multiple of 36026 and 36031 with GCF Formula
LCM of 36026 and 36031 is 1298052806
Least common multiple can be found by multiplying the highest exponent prime factors of 36026 and 36031. First we will calculate the prime factors of 36026 and 36031.
Prime Factorization of 36026
| 2 | 36026 |
| 18013 | 18013 |
| 1 |
Prime factors of 36026 are 2,18013. Prime factorization of 36026 in exponential form is:
36026 = 21×180131
Prime Factorization of 36031
| 137 | 36031 |
| 263 | 263 |
| 1 |
Prime factors of 36031 are 137,263. Prime factorization of 36031 in exponential form is:
36031 = 1371×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 36026 and 36031.
LCM(36026,36031) = 21×1371×2631×180131
LCM(36026,36031) = 1298052806
Factors of 36026
List of positive integer factors of 36026 that divides 36026 without a remainder.
1, 2, 18013, 36026
Factors of 36031
List of positive integer factors of 36031 that divides 36031 without a remainder.
1, 137, 263, 36031
Least Common Multiple of 36026 and 36031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36026 and 36031, than apply into the LCM equation.
GCF(36026,36031) = 1
LCM(36026,36031) = ( 36026 × 36031) / 1
LCM(36026,36031) = 1298052806 / 1
LCM(36026,36031) = 1298052806
Properties of LCM 36026 and 36031
(i) The LCM of 36031 and 36026 is associative
LCM of 36026 and 36031 = LCM of 36031 and 36026
Related Least Common Multiples of 36026
Related Least Common Multiples of 36031
Frequently Asked Questions on LCM of 36026 and 36031
1. What is the LCM of 36026 and 36031?
Answer: LCM of 36026 and 36031 is 1298052806.
2. What are the Factors of 36026?
Answer: Factors of 36026 are 1, 2, 18013, 36026. There are 4 integers that are factors of 36026. The greatest factor of 36026 is 36026.
3. What are the Factors of 36031?
Answer: Factors of 36031 are 1, 137, 263, 36031. There are 4 integers that are factors of 36031. The greatest factor of 36031 is 36031.
4. How to Find the LCM of 36026 and 36031?
Answer:
Least Common Multiple of 36026 and 36031 = 1298052806
Step 1: Find the prime factorization of 36026
36026 = 2 x 18013
Step 2: Find the prime factorization of 36031
36031 = 137 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1298052806 = 2 x 137 x 263 x 18013
Step 4: Therefore, the least common multiple of 36026 and 36031 is 1298052806.