Least Common Multiple of 7729 and 7737
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7729 and 7737 the smallest integer that is 59799273 that is divisible by both numbers.
Least Common Multiple (LCM) of 7729 and 7737 is 59799273.
LCM(7729,7737) = 59799273
LCM of 7729 and 7737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7729 and 7737 by Prime method
- Least Common Multiple of 7729 and 7737 with GCF Formula
LCM of 7729 and 7737 is 59799273
Least common multiple can be found by multiplying the highest exponent prime factors of 7729 and 7737. First we will calculate the prime factors of 7729 and 7737.
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
Prime Factorization of 7737
| 3 | 7737 |
| 2579 | 2579 |
| 1 |
Prime factors of 7737 are 3,2579. Prime factorization of 7737 in exponential form is:
7737 = 31×25791
Now multiplying the highest exponent prime factors to calculate the LCM of 7729 and 7737.
LCM(7729,7737) = 31×591×1311×25791
LCM(7729,7737) = 59799273
Factors of 7729
List of positive integer factors of 7729 that divides 7729 without a remainder.
1, 59, 131, 7729
Factors of 7737
List of positive integer factors of 7737 that divides 7737 without a remainder.
1, 3, 2579, 7737
Least Common Multiple of 7729 and 7737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7729 and 7737, than apply into the LCM equation.
GCF(7729,7737) = 1
LCM(7729,7737) = ( 7729 × 7737) / 1
LCM(7729,7737) = 59799273 / 1
LCM(7729,7737) = 59799273
Properties of LCM 7729 and 7737
(i) The LCM of 7737 and 7729 is associative
LCM of 7729 and 7737 = LCM of 7737 and 7729
Related Least Common Multiples of 7729
Related Least Common Multiples of 7737
Frequently Asked Questions on LCM of 7729 and 7737
1. What is the LCM of 7729 and 7737?
Answer: LCM of 7729 and 7737 is 59799273.
2. 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.
3. What are the Factors of 7737?
Answer: Factors of 7737 are 1, 3, 2579, 7737. There are 4 integers that are factors of 7737. The greatest factor of 7737 is 7737.
4. How to Find the LCM of 7729 and 7737?
Answer:
Least Common Multiple of 7729 and 7737 = 59799273
Step 1: Find the prime factorization of 7729
7729 = 59 x 131
Step 2: Find the prime factorization of 7737
7737 = 3 x 2579
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59799273 = 3 x 59 x 131 x 2579
Step 4: Therefore, the least common multiple of 7729 and 7737 is 59799273.