Least Common Multiple of 7725 and 7729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7725 and 7729 the smallest integer that is 59706525 that is divisible by both numbers.
Least Common Multiple (LCM) of 7725 and 7729 is 59706525.
LCM(7725,7729) = 59706525
LCM of 7725 and 7729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7725 and 7729 by Prime method
- Least Common Multiple of 7725 and 7729 with GCF Formula
LCM of 7725 and 7729 is 59706525
Least common multiple can be found by multiplying the highest exponent prime factors of 7725 and 7729. First we will calculate the prime factors of 7725 and 7729.
Prime Factorization of 7725
| 3 | 7725 |
| 5 | 2575 |
| 5 | 515 |
| 103 | 103 |
| 1 |
Prime factors of 7725 are 3, 5,103. Prime factorization of 7725 in exponential form is:
7725 = 31×52×1031
Prime Factorization of 7729
| 59 | 7729 |
| 131 | 131 |
| 1 |
Prime factors of 7729 are 59,131. Prime factorization of 7729 in exponential form is:
7729 = 591×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 7725 and 7729.
LCM(7725,7729) = 31×52×591×1031×1311
LCM(7725,7729) = 59706525
Factors of 7725
List of positive integer factors of 7725 that divides 7725 without a remainder.
1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
Factors of 7729
List of positive integer factors of 7729 that divides 7729 without a remainder.
1, 59, 131, 7729
Least Common Multiple of 7725 and 7729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7725 and 7729, than apply into the LCM equation.
GCF(7725,7729) = 1
LCM(7725,7729) = ( 7725 × 7729) / 1
LCM(7725,7729) = 59706525 / 1
LCM(7725,7729) = 59706525
Properties of LCM 7725 and 7729
(i) The LCM of 7729 and 7725 is associative
LCM of 7725 and 7729 = LCM of 7729 and 7725
Related Least Common Multiples of 7725
Related Least Common Multiples of 7729
Frequently Asked Questions on LCM of 7725 and 7729
1. What is the LCM of 7725 and 7729?
Answer: LCM of 7725 and 7729 is 59706525.
2. What are the Factors of 7725?
Answer: Factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725. There are 12 integers that are factors of 7725. The greatest factor of 7725 is 7725.
3. What are the Factors of 7729?
Answer: Factors of 7729 are 1, 59, 131, 7729. There are 4 integers that are factors of 7729. The greatest factor of 7729 is 7729.
4. How to Find the LCM of 7725 and 7729?
Answer:
Least Common Multiple of 7725 and 7729 = 59706525
Step 1: Find the prime factorization of 7725
7725 = 3 x 5 x 5 x 103
Step 2: Find the prime factorization of 7729
7729 = 59 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59706525 = 3 x 5 x 5 x 59 x 103 x 131
Step 4: Therefore, the least common multiple of 7725 and 7729 is 59706525.