Least Common Multiple of 4646 and 4653
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4646 and 4653 the smallest integer that is 21617838 that is divisible by both numbers.
Least Common Multiple (LCM) of 4646 and 4653 is 21617838.
LCM(4646,4653) = 21617838
LCM of 4646 and 4653
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4646 and 4653 by Prime method
- Least Common Multiple of 4646 and 4653 with GCF Formula
LCM of 4646 and 4653 is 21617838
Least common multiple can be found by multiplying the highest exponent prime factors of 4646 and 4653. First we will calculate the prime factors of 4646 and 4653.
Prime Factorization of 4646
| 2 | 4646 |
| 23 | 2323 |
| 101 | 101 |
| 1 |
Prime factors of 4646 are 2, 23,101. Prime factorization of 4646 in exponential form is:
4646 = 21×231×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4646 and 4653.
LCM(4646,4653) = 21×32×111×231×471×1011
LCM(4646,4653) = 21617838
Factors of 4646
List of positive integer factors of 4646 that divides 4646 without a remainder.
1, 2, 23, 46, 101, 202, 2323, 4646
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
Least Common Multiple of 4646 and 4653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4646 and 4653, than apply into the LCM equation.
GCF(4646,4653) = 1
LCM(4646,4653) = ( 4646 × 4653) / 1
LCM(4646,4653) = 21617838 / 1
LCM(4646,4653) = 21617838
Properties of LCM 4646 and 4653
(i) The LCM of 4653 and 4646 is associative
LCM of 4646 and 4653 = LCM of 4653 and 4646
Related Least Common Multiples of 4646
Related Least Common Multiples of 4653
Frequently Asked Questions on LCM of 4646 and 4653
1. What is the LCM of 4646 and 4653?
Answer: LCM of 4646 and 4653 is 21617838.
2. What are the Factors of 4646?
Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.
3. 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.
4. How to Find the LCM of 4646 and 4653?
Answer:
Least Common Multiple of 4646 and 4653 = 21617838
Step 1: Find the prime factorization of 4646
4646 = 2 x 23 x 101
Step 2: Find the prime factorization of 4653
4653 = 3 x 3 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21617838 = 2 x 3 x 3 x 11 x 23 x 47 x 101
Step 4: Therefore, the least common multiple of 4646 and 4653 is 21617838.