Least Common Multiple of 36307 and 36314
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36307 and 36314 the smallest integer that is 1318452398 that is divisible by both numbers.
Least Common Multiple (LCM) of 36307 and 36314 is 1318452398.
LCM(36307,36314) = 1318452398
LCM of 36307 and 36314
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36307 and 36314 by Prime method
- Least Common Multiple of 36307 and 36314 with GCF Formula
LCM of 36307 and 36314 is 1318452398
Least common multiple can be found by multiplying the highest exponent prime factors of 36307 and 36314. First we will calculate the prime factors of 36307 and 36314.
Prime Factorization of 36307
| 36307 | 36307 |
| 1 |
Prime factors of 36307 are 36307. Prime factorization of 36307 in exponential form is:
36307 = 363071
Prime Factorization of 36314
| 2 | 36314 |
| 67 | 18157 |
| 271 | 271 |
| 1 |
Prime factors of 36314 are 2, 67,271. Prime factorization of 36314 in exponential form is:
36314 = 21×671×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 36307 and 36314.
LCM(36307,36314) = 21×671×2711×363071
LCM(36307,36314) = 1318452398
Factors of 36307
List of positive integer factors of 36307 that divides 36307 without a remainder.
1, 36307
Factors of 36314
List of positive integer factors of 36314 that divides 36314 without a remainder.
1, 2, 67, 134, 271, 542, 18157, 36314
Least Common Multiple of 36307 and 36314 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36307 and 36314, than apply into the LCM equation.
GCF(36307,36314) = 1
LCM(36307,36314) = ( 36307 × 36314) / 1
LCM(36307,36314) = 1318452398 / 1
LCM(36307,36314) = 1318452398
Properties of LCM 36307 and 36314
(i) The LCM of 36314 and 36307 is associative
LCM of 36307 and 36314 = LCM of 36314 and 36307
Related Least Common Multiples of 36307
Related Least Common Multiples of 36314
Frequently Asked Questions on LCM of 36307 and 36314
1. What is the LCM of 36307 and 36314?
Answer: LCM of 36307 and 36314 is 1318452398.
2. What are the Factors of 36307?
Answer: Factors of 36307 are 1, 36307. There are 2 integers that are factors of 36307. The greatest factor of 36307 is 36307.
3. What are the Factors of 36314?
Answer: Factors of 36314 are 1, 2, 67, 134, 271, 542, 18157, 36314. There are 8 integers that are factors of 36314. The greatest factor of 36314 is 36314.
4. How to Find the LCM of 36307 and 36314?
Answer:
Least Common Multiple of 36307 and 36314 = 1318452398
Step 1: Find the prime factorization of 36307
36307 = 36307
Step 2: Find the prime factorization of 36314
36314 = 2 x 67 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1318452398 = 2 x 67 x 271 x 36307
Step 4: Therefore, the least common multiple of 36307 and 36314 is 1318452398.