Least Common Multiple of 4623 and 4629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4623 and 4629 the smallest integer that is 7133289 that is divisible by both numbers.
Least Common Multiple (LCM) of 4623 and 4629 is 7133289.
LCM(4623,4629) = 7133289
LCM of 4623 and 4629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4623 and 4629 by Prime method
- Least Common Multiple of 4623 and 4629 with GCF Formula
LCM of 4623 and 4629 is 7133289
Least common multiple can be found by multiplying the highest exponent prime factors of 4623 and 4629. First we will calculate the prime factors of 4623 and 4629.
Prime Factorization of 4623
| 3 | 4623 |
| 23 | 1541 |
| 67 | 67 |
| 1 |
Prime factors of 4623 are 3, 23,67. Prime factorization of 4623 in exponential form is:
4623 = 31×231×671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4623 and 4629.
LCM(4623,4629) = 31×231×671×15431
LCM(4623,4629) = 7133289
Factors of 4623
List of positive integer factors of 4623 that divides 4623 without a remainder.
1, 3, 23, 67, 69, 201, 1541, 4623
Factors of 4629
List of positive integer factors of 4629 that divides 4629 without a remainder.
1, 3, 1543, 4629
Least Common Multiple of 4623 and 4629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4623 and 4629, than apply into the LCM equation.
GCF(4623,4629) = 3
LCM(4623,4629) = ( 4623 × 4629) / 3
LCM(4623,4629) = 21399867 / 3
LCM(4623,4629) = 7133289
Properties of LCM 4623 and 4629
(i) The LCM of 4629 and 4623 is associative
LCM of 4623 and 4629 = LCM of 4629 and 4623
Related Least Common Multiples of 4623
Related Least Common Multiples of 4629
Frequently Asked Questions on LCM of 4623 and 4629
1. What is the LCM of 4623 and 4629?
Answer: LCM of 4623 and 4629 is 7133289.
2. What are the Factors of 4623?
Answer: Factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623. There are 8 integers that are factors of 4623. The greatest factor of 4623 is 4623.
3. 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.
4. How to Find the LCM of 4623 and 4629?
Answer:
Least Common Multiple of 4623 and 4629 = 7133289
Step 1: Find the prime factorization of 4623
4623 = 3 x 23 x 67
Step 2: Find the prime factorization of 4629
4629 = 3 x 1543
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7133289 = 3 x 23 x 67 x 1543
Step 4: Therefore, the least common multiple of 4623 and 4629 is 7133289.