Least Common Multiple of 36305 and 36311
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36305 and 36311 the smallest integer that is 1318270855 that is divisible by both numbers.
Least Common Multiple (LCM) of 36305 and 36311 is 1318270855.
LCM(36305,36311) = 1318270855
LCM of 36305 and 36311
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36305 and 36311 by Prime method
- Least Common Multiple of 36305 and 36311 with GCF Formula
LCM of 36305 and 36311 is 1318270855
Least common multiple can be found by multiplying the highest exponent prime factors of 36305 and 36311. First we will calculate the prime factors of 36305 and 36311.
Prime Factorization of 36305
| 5 | 36305 |
| 53 | 7261 |
| 137 | 137 |
| 1 |
Prime factors of 36305 are 5, 53,137. Prime factorization of 36305 in exponential form is:
36305 = 51×531×1371
Prime Factorization of 36311
| 11 | 36311 |
| 3301 | 3301 |
| 1 |
Prime factors of 36311 are 11,3301. Prime factorization of 36311 in exponential form is:
36311 = 111×33011
Now multiplying the highest exponent prime factors to calculate the LCM of 36305 and 36311.
LCM(36305,36311) = 51×111×531×1371×33011
LCM(36305,36311) = 1318270855
Factors of 36305
List of positive integer factors of 36305 that divides 36305 without a remainder.
1, 5, 53, 137, 265, 685, 7261, 36305
Factors of 36311
List of positive integer factors of 36311 that divides 36311 without a remainder.
1, 11, 3301, 36311
Least Common Multiple of 36305 and 36311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36305 and 36311, than apply into the LCM equation.
GCF(36305,36311) = 1
LCM(36305,36311) = ( 36305 × 36311) / 1
LCM(36305,36311) = 1318270855 / 1
LCM(36305,36311) = 1318270855
Properties of LCM 36305 and 36311
(i) The LCM of 36311 and 36305 is associative
LCM of 36305 and 36311 = LCM of 36311 and 36305
Related Least Common Multiples of 36305
Related Least Common Multiples of 36311
Frequently Asked Questions on LCM of 36305 and 36311
1. What is the LCM of 36305 and 36311?
Answer: LCM of 36305 and 36311 is 1318270855.
2. What are the Factors of 36305?
Answer: Factors of 36305 are 1, 5, 53, 137, 265, 685, 7261, 36305. There are 8 integers that are factors of 36305. The greatest factor of 36305 is 36305.
3. What are the Factors of 36311?
Answer: Factors of 36311 are 1, 11, 3301, 36311. There are 4 integers that are factors of 36311. The greatest factor of 36311 is 36311.
4. How to Find the LCM of 36305 and 36311?
Answer:
Least Common Multiple of 36305 and 36311 = 1318270855
Step 1: Find the prime factorization of 36305
36305 = 5 x 53 x 137
Step 2: Find the prime factorization of 36311
36311 = 11 x 3301
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1318270855 = 5 x 11 x 53 x 137 x 3301
Step 4: Therefore, the least common multiple of 36305 and 36311 is 1318270855.