Least Common Multiple of 4653 and 4658
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4653 and 4658 the smallest integer that is 21673674 that is divisible by both numbers.
Least Common Multiple (LCM) of 4653 and 4658 is 21673674.
LCM(4653,4658) = 21673674
LCM of 4653 and 4658
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4653 and 4658 by Prime method
- Least Common Multiple of 4653 and 4658 with GCF Formula
LCM of 4653 and 4658 is 21673674
Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4658. First we will calculate the prime factors of 4653 and 4658.
Prime Factorization of 4653
| 3 | 4653 |
| 3 | 1551 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 4653 are 3, 11,47. Prime factorization of 4653 in exponential form is:
4653 = 32×111×471
Prime Factorization of 4658
| 2 | 4658 |
| 17 | 2329 |
| 137 | 137 |
| 1 |
Prime factors of 4658 are 2, 17,137. Prime factorization of 4658 in exponential form is:
4658 = 21×171×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4658.
LCM(4653,4658) = 21×32×111×171×471×1371
LCM(4653,4658) = 21673674
Factors of 4653
List of positive integer factors of 4653 that divides 4653 without a remainder.
1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653
Factors of 4658
List of positive integer factors of 4658 that divides 4658 without a remainder.
1, 2, 17, 34, 137, 274, 2329, 4658
Least Common Multiple of 4653 and 4658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4653 and 4658, than apply into the LCM equation.
GCF(4653,4658) = 1
LCM(4653,4658) = ( 4653 × 4658) / 1
LCM(4653,4658) = 21673674 / 1
LCM(4653,4658) = 21673674
Properties of LCM 4653 and 4658
(i) The LCM of 4658 and 4653 is associative
LCM of 4653 and 4658 = LCM of 4658 and 4653
Related Least Common Multiples of 4653
Related Least Common Multiples of 4658
Frequently Asked Questions on LCM of 4653 and 4658
1. What is the LCM of 4653 and 4658?
Answer: LCM of 4653 and 4658 is 21673674.
2. What are the Factors of 4653?
Answer: Factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653. There are 12 integers that are factors of 4653. The greatest factor of 4653 is 4653.
3. What are the Factors of 4658?
Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.
4. How to Find the LCM of 4653 and 4658?
Answer:
Least Common Multiple of 4653 and 4658 = 21673674
Step 1: Find the prime factorization of 4653
4653 = 3 x 3 x 11 x 47
Step 2: Find the prime factorization of 4658
4658 = 2 x 17 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21673674 = 2 x 3 x 3 x 11 x 17 x 47 x 137
Step 4: Therefore, the least common multiple of 4653 and 4658 is 21673674.