Least Common Multiple of 36305 and 36309
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 36309 the smallest integer that is 1318198245 that is divisible by both numbers.
Least Common Multiple (LCM) of 36305 and 36309 is 1318198245.
LCM(36305,36309) = 1318198245
LCM of 36305 and 36309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36305 and 36309 by Prime method
- Least Common Multiple of 36305 and 36309 with GCF Formula
LCM of 36305 and 36309 is 1318198245
Least common multiple can be found by multiplying the highest exponent prime factors of 36305 and 36309. First we will calculate the prime factors of 36305 and 36309.
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 36309
| 3 | 36309 |
| 7 | 12103 |
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 36309 are 3, 7, 13,19. Prime factorization of 36309 in exponential form is:
36309 = 31×72×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 36305 and 36309.
LCM(36305,36309) = 31×51×72×131×191×531×1371
LCM(36305,36309) = 1318198245
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 36309
List of positive integer factors of 36309 that divides 36309 without a remainder.
1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309
Least Common Multiple of 36305 and 36309 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 36309, than apply into the LCM equation.
GCF(36305,36309) = 1
LCM(36305,36309) = ( 36305 × 36309) / 1
LCM(36305,36309) = 1318198245 / 1
LCM(36305,36309) = 1318198245
Properties of LCM 36305 and 36309
(i) The LCM of 36309 and 36305 is associative
LCM of 36305 and 36309 = LCM of 36309 and 36305
Related Least Common Multiples of 36305
Related Least Common Multiples of 36309
Frequently Asked Questions on LCM of 36305 and 36309
1. What is the LCM of 36305 and 36309?
Answer: LCM of 36305 and 36309 is 1318198245.
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 36309?
Answer: Factors of 36309 are 1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309. There are 24 integers that are factors of 36309. The greatest factor of 36309 is 36309.
4. How to Find the LCM of 36305 and 36309?
Answer:
Least Common Multiple of 36305 and 36309 = 1318198245
Step 1: Find the prime factorization of 36305
36305 = 5 x 53 x 137
Step 2: Find the prime factorization of 36309
36309 = 3 x 7 x 7 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1318198245 = 3 x 5 x 7 x 7 x 13 x 19 x 53 x 137
Step 4: Therefore, the least common multiple of 36305 and 36309 is 1318198245.