Least Common Multiple of 8603 and 8611
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8603 and 8611 the smallest integer that is 74080433 that is divisible by both numbers.
Least Common Multiple (LCM) of 8603 and 8611 is 74080433.
LCM(8603,8611) = 74080433
LCM of 8603 and 8611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8603 and 8611 by Prime method
- Least Common Multiple of 8603 and 8611 with GCF Formula
LCM of 8603 and 8611 is 74080433
Least common multiple can be found by multiplying the highest exponent prime factors of 8603 and 8611. First we will calculate the prime factors of 8603 and 8611.
Prime Factorization of 8603
| 7 | 8603 |
| 1229 | 1229 |
| 1 |
Prime factors of 8603 are 7,1229. Prime factorization of 8603 in exponential form is:
8603 = 71×12291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8603 and 8611.
LCM(8603,8611) = 71×791×1091×12291
LCM(8603,8611) = 74080433
Factors of 8603
List of positive integer factors of 8603 that divides 8603 without a remainder.
1, 7, 1229, 8603
Factors of 8611
List of positive integer factors of 8611 that divides 8611 without a remainder.
1, 79, 109, 8611
Least Common Multiple of 8603 and 8611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8603 and 8611, than apply into the LCM equation.
GCF(8603,8611) = 1
LCM(8603,8611) = ( 8603 × 8611) / 1
LCM(8603,8611) = 74080433 / 1
LCM(8603,8611) = 74080433
Properties of LCM 8603 and 8611
(i) The LCM of 8611 and 8603 is associative
LCM of 8603 and 8611 = LCM of 8611 and 8603
Related Least Common Multiples of 8603
Related Least Common Multiples of 8611
Frequently Asked Questions on LCM of 8603 and 8611
1. What is the LCM of 8603 and 8611?
Answer: LCM of 8603 and 8611 is 74080433.
2. What are the Factors of 8603?
Answer: Factors of 8603 are 1, 7, 1229, 8603. There are 4 integers that are factors of 8603. The greatest factor of 8603 is 8603.
3. 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.
4. How to Find the LCM of 8603 and 8611?
Answer:
Least Common Multiple of 8603 and 8611 = 74080433
Step 1: Find the prime factorization of 8603
8603 = 7 x 1229
Step 2: Find the prime factorization of 8611
8611 = 79 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74080433 = 7 x 79 x 109 x 1229
Step 4: Therefore, the least common multiple of 8603 and 8611 is 74080433.