Least Common Multiple of 75679 and 75684
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 75679 and 75684 the smallest integer that is 5727689436 that is divisible by both numbers.
Least Common Multiple (LCM) of 75679 and 75684 is 5727689436.
LCM(75679,75684) = 5727689436
LCM of 75679 and 75684
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 75679 and 75684 by Prime method
- Least Common Multiple of 75679 and 75684 with GCF Formula
LCM of 75679 and 75684 is 5727689436
Least common multiple can be found by multiplying the highest exponent prime factors of 75679 and 75684. First we will calculate the prime factors of 75679 and 75684.
Prime Factorization of 75679
| 75679 | 75679 |
| 1 |
Prime factors of 75679 are 75679. Prime factorization of 75679 in exponential form is:
75679 = 756791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 75679 and 75684.
LCM(75679,75684) = 22×31×71×171×531×756791
LCM(75679,75684) = 5727689436
Factors of 75679
List of positive integer factors of 75679 that divides 75679 without a remainder.
1, 75679
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
Least Common Multiple of 75679 and 75684 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75679 and 75684, than apply into the LCM equation.
GCF(75679,75684) = 1
LCM(75679,75684) = ( 75679 × 75684) / 1
LCM(75679,75684) = 5727689436 / 1
LCM(75679,75684) = 5727689436
Properties of LCM 75679 and 75684
(i) The LCM of 75684 and 75679 is associative
LCM of 75679 and 75684 = LCM of 75684 and 75679
Related Least Common Multiples of 75679
Related Least Common Multiples of 75684
Frequently Asked Questions on LCM of 75679 and 75684
1. What is the LCM of 75679 and 75684?
Answer: LCM of 75679 and 75684 is 5727689436.
2. What are the Factors of 75679?
Answer: Factors of 75679 are 1, 75679. There are 2 integers that are factors of 75679. The greatest factor of 75679 is 75679.
3. 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.
4. How to Find the LCM of 75679 and 75684?
Answer:
Least Common Multiple of 75679 and 75684 = 5727689436
Step 1: Find the prime factorization of 75679
75679 = 75679
Step 2: Find the prime factorization of 75684
75684 = 2 x 2 x 3 x 7 x 17 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5727689436 = 2 x 2 x 3 x 7 x 17 x 53 x 75679
Step 4: Therefore, the least common multiple of 75679 and 75684 is 5727689436.