Least Common Multiple of 75684 and 75687
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 75684 and 75687 the smallest integer that is 1909431636 that is divisible by both numbers.
Least Common Multiple (LCM) of 75684 and 75687 is 1909431636.
LCM(75684,75687) = 1909431636
LCM of 75684 and 75687
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 75684 and 75687 by Prime method
- Least Common Multiple of 75684 and 75687 with GCF Formula
LCM of 75684 and 75687 is 1909431636
Least common multiple can be found by multiplying the highest exponent prime factors of 75684 and 75687. First we will calculate the prime factors of 75684 and 75687.
Prime Factorization of 75684
| 2 | 75684 |
| 2 | 37842 |
| 3 | 18921 |
| 7 | 6307 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 75684 are 2, 3, 7, 17,53. Prime factorization of 75684 in exponential form is:
75684 = 22×31×71×171×531
Prime Factorization of 75687
| 3 | 75687 |
| 25229 | 25229 |
| 1 |
Prime factors of 75687 are 3,25229. Prime factorization of 75687 in exponential form is:
75687 = 31×252291
Now multiplying the highest exponent prime factors to calculate the LCM of 75684 and 75687.
LCM(75684,75687) = 22×31×71×171×531×252291
LCM(75684,75687) = 1909431636
Factors of 75684
List of positive integer factors of 75684 that divides 75684 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 53, 68, 84, 102, 106, 119, 159, 204, 212, 238, 318, 357, 371, 476, 636, 714, 742, 901, 1113, 1428, 1484, 1802, 2226, 2703, 3604, 4452, 5406, 6307, 10812, 12614, 18921, 25228, 37842, 75684
Factors of 75687
List of positive integer factors of 75687 that divides 75687 without a remainder.
1, 3, 25229, 75687
Least Common Multiple of 75684 and 75687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75684 and 75687, than apply into the LCM equation.
GCF(75684,75687) = 3
LCM(75684,75687) = ( 75684 × 75687) / 3
LCM(75684,75687) = 5728294908 / 3
LCM(75684,75687) = 1909431636
Properties of LCM 75684 and 75687
(i) The LCM of 75687 and 75684 is associative
LCM of 75684 and 75687 = LCM of 75687 and 75684
Related Least Common Multiples of 75684
Related Least Common Multiples of 75687
Frequently Asked Questions on LCM of 75684 and 75687
1. What is the LCM of 75684 and 75687?
Answer: LCM of 75684 and 75687 is 1909431636.
2. What are the Factors of 75684?
Answer: Factors of 75684 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 53, 68, 84, 102, 106, 119, 159, 204, 212, 238, 318, 357, 371, 476, 636, 714, 742, 901, 1113, 1428, 1484, 1802, 2226, 2703, 3604, 4452, 5406, 6307, 10812, 12614, 18921, 25228, 37842, 75684. There are 48 integers that are factors of 75684. The greatest factor of 75684 is 75684.
3. What are the Factors of 75687?
Answer: Factors of 75687 are 1, 3, 25229, 75687. There are 4 integers that are factors of 75687. The greatest factor of 75687 is 75687.
4. How to Find the LCM of 75684 and 75687?
Answer:
Least Common Multiple of 75684 and 75687 = 1909431636
Step 1: Find the prime factorization of 75684
75684 = 2 x 2 x 3 x 7 x 17 x 53
Step 2: Find the prime factorization of 75687
75687 = 3 x 25229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1909431636 = 2 x 2 x 3 x 7 x 17 x 53 x 25229
Step 4: Therefore, the least common multiple of 75684 and 75687 is 1909431636.