Least Common Multiple of 4609 and 4611
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4609 and 4611 the smallest integer that is 21252099 that is divisible by both numbers.
Least Common Multiple (LCM) of 4609 and 4611 is 21252099.
LCM(4609,4611) = 21252099
LCM of 4609 and 4611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4609 and 4611 by Prime method
- Least Common Multiple of 4609 and 4611 with GCF Formula
LCM of 4609 and 4611 is 21252099
Least common multiple can be found by multiplying the highest exponent prime factors of 4609 and 4611. First we will calculate the prime factors of 4609 and 4611.
Prime Factorization of 4609
| 11 | 4609 |
| 419 | 419 |
| 1 |
Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:
4609 = 111×4191
Prime Factorization of 4611
| 3 | 4611 |
| 29 | 1537 |
| 53 | 53 |
| 1 |
Prime factors of 4611 are 3, 29,53. Prime factorization of 4611 in exponential form is:
4611 = 31×291×531
Now multiplying the highest exponent prime factors to calculate the LCM of 4609 and 4611.
LCM(4609,4611) = 31×111×291×531×4191
LCM(4609,4611) = 21252099
Factors of 4609
List of positive integer factors of 4609 that divides 4609 without a remainder.
1, 11, 419, 4609
Factors of 4611
List of positive integer factors of 4611 that divides 4611 without a remainder.
1, 3, 29, 53, 87, 159, 1537, 4611
Least Common Multiple of 4609 and 4611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4609 and 4611, than apply into the LCM equation.
GCF(4609,4611) = 1
LCM(4609,4611) = ( 4609 × 4611) / 1
LCM(4609,4611) = 21252099 / 1
LCM(4609,4611) = 21252099
Properties of LCM 4609 and 4611
(i) The LCM of 4611 and 4609 is associative
LCM of 4609 and 4611 = LCM of 4611 and 4609
Related Least Common Multiples of 4609
Related Least Common Multiples of 4611
Frequently Asked Questions on LCM of 4609 and 4611
1. What is the LCM of 4609 and 4611?
Answer: LCM of 4609 and 4611 is 21252099.
2. What are the Factors of 4609?
Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.
3. What are the Factors of 4611?
Answer: Factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611. There are 8 integers that are factors of 4611. The greatest factor of 4611 is 4611.
4. How to Find the LCM of 4609 and 4611?
Answer:
Least Common Multiple of 4609 and 4611 = 21252099
Step 1: Find the prime factorization of 4609
4609 = 11 x 419
Step 2: Find the prime factorization of 4611
4611 = 3 x 29 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21252099 = 3 x 11 x 29 x 53 x 419
Step 4: Therefore, the least common multiple of 4609 and 4611 is 21252099.
