Least Common Multiple of 7611 and 7617
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7611 and 7617 the smallest integer that is 19324329 that is divisible by both numbers.
Least Common Multiple (LCM) of 7611 and 7617 is 19324329.
LCM(7611,7617) = 19324329
LCM of 7611 and 7617
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7611 and 7617 by Prime method
- Least Common Multiple of 7611 and 7617 with GCF Formula
LCM of 7611 and 7617 is 19324329
Least common multiple can be found by multiplying the highest exponent prime factors of 7611 and 7617. First we will calculate the prime factors of 7611 and 7617.
Prime Factorization of 7611
| 3 | 7611 |
| 43 | 2537 |
| 59 | 59 |
| 1 |
Prime factors of 7611 are 3, 43,59. Prime factorization of 7611 in exponential form is:
7611 = 31×431×591
Prime Factorization of 7617
| 3 | 7617 |
| 2539 | 2539 |
| 1 |
Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:
7617 = 31×25391
Now multiplying the highest exponent prime factors to calculate the LCM of 7611 and 7617.
LCM(7611,7617) = 31×431×591×25391
LCM(7611,7617) = 19324329
Factors of 7611
List of positive integer factors of 7611 that divides 7611 without a remainder.
1, 3, 43, 59, 129, 177, 2537, 7611
Factors of 7617
List of positive integer factors of 7617 that divides 7617 without a remainder.
1, 3, 2539, 7617
Least Common Multiple of 7611 and 7617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7611 and 7617, than apply into the LCM equation.
GCF(7611,7617) = 3
LCM(7611,7617) = ( 7611 × 7617) / 3
LCM(7611,7617) = 57972987 / 3
LCM(7611,7617) = 19324329
Properties of LCM 7611 and 7617
(i) The LCM of 7617 and 7611 is associative
LCM of 7611 and 7617 = LCM of 7617 and 7611
Related Least Common Multiples of 7611
Related Least Common Multiples of 7617
Frequently Asked Questions on LCM of 7611 and 7617
1. What is the LCM of 7611 and 7617?
Answer: LCM of 7611 and 7617 is 19324329.
2. What are the Factors of 7611?
Answer: Factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611. There are 8 integers that are factors of 7611. The greatest factor of 7611 is 7611.
3. What are the Factors of 7617?
Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.
4. How to Find the LCM of 7611 and 7617?
Answer:
Least Common Multiple of 7611 and 7617 = 19324329
Step 1: Find the prime factorization of 7611
7611 = 3 x 43 x 59
Step 2: Find the prime factorization of 7617
7617 = 3 x 2539
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19324329 = 3 x 43 x 59 x 2539
Step 4: Therefore, the least common multiple of 7611 and 7617 is 19324329.