Least Common Multiple of 36305 and 36313
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 36313 the smallest integer that is 1318343465 that is divisible by both numbers.
Least Common Multiple (LCM) of 36305 and 36313 is 1318343465.
LCM(36305,36313) = 1318343465
LCM of 36305 and 36313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36305 and 36313 by Prime method
- Least Common Multiple of 36305 and 36313 with GCF Formula
LCM of 36305 and 36313 is 1318343465
Least common multiple can be found by multiplying the highest exponent prime factors of 36305 and 36313. First we will calculate the prime factors of 36305 and 36313.
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 36313
| 36313 | 36313 |
| 1 |
Prime factors of 36313 are 36313. Prime factorization of 36313 in exponential form is:
36313 = 363131
Now multiplying the highest exponent prime factors to calculate the LCM of 36305 and 36313.
LCM(36305,36313) = 51×531×1371×363131
LCM(36305,36313) = 1318343465
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 36313
List of positive integer factors of 36313 that divides 36313 without a remainder.
1, 36313
Least Common Multiple of 36305 and 36313 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 36313, than apply into the LCM equation.
GCF(36305,36313) = 1
LCM(36305,36313) = ( 36305 × 36313) / 1
LCM(36305,36313) = 1318343465 / 1
LCM(36305,36313) = 1318343465
Properties of LCM 36305 and 36313
(i) The LCM of 36313 and 36305 is associative
LCM of 36305 and 36313 = LCM of 36313 and 36305
Related Least Common Multiples of 36305
Related Least Common Multiples of 36313
Frequently Asked Questions on LCM of 36305 and 36313
1. What is the LCM of 36305 and 36313?
Answer: LCM of 36305 and 36313 is 1318343465.
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 36313?
Answer: Factors of 36313 are 1, 36313. There are 2 integers that are factors of 36313. The greatest factor of 36313 is 36313.
4. How to Find the LCM of 36305 and 36313?
Answer:
Least Common Multiple of 36305 and 36313 = 1318343465
Step 1: Find the prime factorization of 36305
36305 = 5 x 53 x 137
Step 2: Find the prime factorization of 36313
36313 = 36313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1318343465 = 5 x 53 x 137 x 36313
Step 4: Therefore, the least common multiple of 36305 and 36313 is 1318343465.