Least Common Multiple of 8611 and 8615
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8611 and 8615 the smallest integer that is 74183765 that is divisible by both numbers.
Least Common Multiple (LCM) of 8611 and 8615 is 74183765.
LCM(8611,8615) = 74183765
LCM of 8611 and 8615
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8611 and 8615 by Prime method
- Least Common Multiple of 8611 and 8615 with GCF Formula
LCM of 8611 and 8615 is 74183765
Least common multiple can be found by multiplying the highest exponent prime factors of 8611 and 8615. First we will calculate the prime factors of 8611 and 8615.
Prime Factorization of 8611
| 79 | 8611 |
| 109 | 109 |
| 1 |
Prime factors of 8611 are 79,109. Prime factorization of 8611 in exponential form is:
8611 = 791×1091
Prime Factorization of 8615
| 5 | 8615 |
| 1723 | 1723 |
| 1 |
Prime factors of 8615 are 5,1723. Prime factorization of 8615 in exponential form is:
8615 = 51×17231
Now multiplying the highest exponent prime factors to calculate the LCM of 8611 and 8615.
LCM(8611,8615) = 51×791×1091×17231
LCM(8611,8615) = 74183765
Factors of 8611
List of positive integer factors of 8611 that divides 8611 without a remainder.
1, 79, 109, 8611
Factors of 8615
List of positive integer factors of 8615 that divides 8615 without a remainder.
1, 5, 1723, 8615
Least Common Multiple of 8611 and 8615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8611 and 8615, than apply into the LCM equation.
GCF(8611,8615) = 1
LCM(8611,8615) = ( 8611 × 8615) / 1
LCM(8611,8615) = 74183765 / 1
LCM(8611,8615) = 74183765
Properties of LCM 8611 and 8615
(i) The LCM of 8615 and 8611 is associative
LCM of 8611 and 8615 = LCM of 8615 and 8611
Related Least Common Multiples of 8611
Related Least Common Multiples of 8615
Frequently Asked Questions on LCM of 8611 and 8615
1. What is the LCM of 8611 and 8615?
Answer: LCM of 8611 and 8615 is 74183765.
2. What are the Factors of 8611?
Answer: Factors of 8611 are 1, 79, 109, 8611. There are 4 integers that are factors of 8611. The greatest factor of 8611 is 8611.
3. What are the Factors of 8615?
Answer: Factors of 8615 are 1, 5, 1723, 8615. There are 4 integers that are factors of 8615. The greatest factor of 8615 is 8615.
4. How to Find the LCM of 8611 and 8615?
Answer:
Least Common Multiple of 8611 and 8615 = 74183765
Step 1: Find the prime factorization of 8611
8611 = 79 x 109
Step 2: Find the prime factorization of 8615
8615 = 5 x 1723
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74183765 = 5 x 79 x 109 x 1723
Step 4: Therefore, the least common multiple of 8611 and 8615 is 74183765.