Least Common Multiple of 36309 and 36316
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36309 and 36316 the smallest integer that is 188371092 that is divisible by both numbers.
Least Common Multiple (LCM) of 36309 and 36316 is 188371092.
LCM(36309,36316) = 188371092
LCM of 36309 and 36316
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36309 and 36316 by Prime method
- Least Common Multiple of 36309 and 36316 with GCF Formula
LCM of 36309 and 36316 is 188371092
Least common multiple can be found by multiplying the highest exponent prime factors of 36309 and 36316. First we will calculate the prime factors of 36309 and 36316.
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
Prime Factorization of 36316
| 2 | 36316 |
| 2 | 18158 |
| 7 | 9079 |
| 1297 | 1297 |
| 1 |
Prime factors of 36316 are 2, 7,1297. Prime factorization of 36316 in exponential form is:
36316 = 22×71×12971
Now multiplying the highest exponent prime factors to calculate the LCM of 36309 and 36316.
LCM(36309,36316) = 22×31×72×131×191×12971
LCM(36309,36316) = 188371092
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
Factors of 36316
List of positive integer factors of 36316 that divides 36316 without a remainder.
1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316
Least Common Multiple of 36309 and 36316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36309 and 36316, than apply into the LCM equation.
GCF(36309,36316) = 7
LCM(36309,36316) = ( 36309 × 36316) / 7
LCM(36309,36316) = 1318597644 / 7
LCM(36309,36316) = 188371092
Properties of LCM 36309 and 36316
(i) The LCM of 36316 and 36309 is associative
LCM of 36309 and 36316 = LCM of 36316 and 36309
Related Least Common Multiples of 36309
Related Least Common Multiples of 36316
Frequently Asked Questions on LCM of 36309 and 36316
1. What is the LCM of 36309 and 36316?
Answer: LCM of 36309 and 36316 is 188371092.
2. 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.
3. What are the Factors of 36316?
Answer: Factors of 36316 are 1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316. There are 12 integers that are factors of 36316. The greatest factor of 36316 is 36316.
4. How to Find the LCM of 36309 and 36316?
Answer:
Least Common Multiple of 36309 and 36316 = 188371092
Step 1: Find the prime factorization of 36309
36309 = 3 x 7 x 7 x 13 x 19
Step 2: Find the prime factorization of 36316
36316 = 2 x 2 x 7 x 1297
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 188371092 = 2 x 2 x 3 x 7 x 7 x 13 x 19 x 1297
Step 4: Therefore, the least common multiple of 36309 and 36316 is 188371092.