Least Common Multiple of 4606 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 4606 and 4611 the smallest integer that is 21238266 that is divisible by both numbers.
Least Common Multiple (LCM) of 4606 and 4611 is 21238266.
LCM(4606,4611) = 21238266
LCM of 4606 and 4611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4606 and 4611 by Prime method
- Least Common Multiple of 4606 and 4611 with GCF Formula
LCM of 4606 and 4611 is 21238266
Least common multiple can be found by multiplying the highest exponent prime factors of 4606 and 4611. First we will calculate the prime factors of 4606 and 4611.
Prime Factorization of 4606
| 2 | 4606 |
| 7 | 2303 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 4606 are 2, 7,47. Prime factorization of 4606 in exponential form is:
4606 = 21×72×471
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 4606 and 4611.
LCM(4606,4611) = 21×31×72×291×471×531
LCM(4606,4611) = 21238266
Factors of 4606
List of positive integer factors of 4606 that divides 4606 without a remainder.
1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
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 4606 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 4606 and 4611, than apply into the LCM equation.
GCF(4606,4611) = 1
LCM(4606,4611) = ( 4606 × 4611) / 1
LCM(4606,4611) = 21238266 / 1
LCM(4606,4611) = 21238266
Properties of LCM 4606 and 4611
(i) The LCM of 4611 and 4606 is associative
LCM of 4606 and 4611 = LCM of 4611 and 4606
Related Least Common Multiples of 4606
Related Least Common Multiples of 4611
Frequently Asked Questions on LCM of 4606 and 4611
1. What is the LCM of 4606 and 4611?
Answer: LCM of 4606 and 4611 is 21238266.
2. What are the Factors of 4606?
Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.
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 4606 and 4611?
Answer:
Least Common Multiple of 4606 and 4611 = 21238266
Step 1: Find the prime factorization of 4606
4606 = 2 x 7 x 7 x 47
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 = 21238266 = 2 x 3 x 7 x 7 x 29 x 47 x 53
Step 4: Therefore, the least common multiple of 4606 and 4611 is 21238266.