Least Common Multiple of 4629 and 4633
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4629 and 4633 the smallest integer that is 21446157 that is divisible by both numbers.
Least Common Multiple (LCM) of 4629 and 4633 is 21446157.
LCM(4629,4633) = 21446157
LCM of 4629 and 4633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4629 and 4633 by Prime method
- Least Common Multiple of 4629 and 4633 with GCF Formula
LCM of 4629 and 4633 is 21446157
Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4633. First we will calculate the prime factors of 4629 and 4633.
Prime Factorization of 4629
| 3 | 4629 |
| 1543 | 1543 |
| 1 |
Prime factors of 4629 are 3,1543. Prime factorization of 4629 in exponential form is:
4629 = 31×15431
Prime Factorization of 4633
| 41 | 4633 |
| 113 | 113 |
| 1 |
Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:
4633 = 411×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4633.
LCM(4629,4633) = 31×411×1131×15431
LCM(4629,4633) = 21446157
Factors of 4629
List of positive integer factors of 4629 that divides 4629 without a remainder.
1, 3, 1543, 4629
Factors of 4633
List of positive integer factors of 4633 that divides 4633 without a remainder.
1, 41, 113, 4633
Least Common Multiple of 4629 and 4633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4629 and 4633, than apply into the LCM equation.
GCF(4629,4633) = 1
LCM(4629,4633) = ( 4629 × 4633) / 1
LCM(4629,4633) = 21446157 / 1
LCM(4629,4633) = 21446157
Properties of LCM 4629 and 4633
(i) The LCM of 4633 and 4629 is associative
LCM of 4629 and 4633 = LCM of 4633 and 4629
Related Least Common Multiples of 4629
Related Least Common Multiples of 4633
Frequently Asked Questions on LCM of 4629 and 4633
1. What is the LCM of 4629 and 4633?
Answer: LCM of 4629 and 4633 is 21446157.
2. What are the Factors of 4629?
Answer: Factors of 4629 are 1, 3, 1543, 4629. There are 4 integers that are factors of 4629. The greatest factor of 4629 is 4629.
3. What are the Factors of 4633?
Answer: Factors of 4633 are 1, 41, 113, 4633. There are 4 integers that are factors of 4633. The greatest factor of 4633 is 4633.
4. How to Find the LCM of 4629 and 4633?
Answer:
Least Common Multiple of 4629 and 4633 = 21446157
Step 1: Find the prime factorization of 4629
4629 = 3 x 1543
Step 2: Find the prime factorization of 4633
4633 = 41 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21446157 = 3 x 41 x 113 x 1543
Step 4: Therefore, the least common multiple of 4629 and 4633 is 21446157.