Least Common Multiple of 4623 and 4631
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 4631 the smallest integer that is 21409113 that is divisible by both numbers.
Least Common Multiple (LCM) of 4623 and 4631 is 21409113.
LCM(4623,4631) = 21409113
LCM of 4623 and 4631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4623 and 4631 by Prime method
- Least Common Multiple of 4623 and 4631 with GCF Formula
LCM of 4623 and 4631 is 21409113
Least common multiple can be found by multiplying the highest exponent prime factors of 4623 and 4631. First we will calculate the prime factors of 4623 and 4631.
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 4631
| 11 | 4631 |
| 421 | 421 |
| 1 |
Prime factors of 4631 are 11,421. Prime factorization of 4631 in exponential form is:
4631 = 111×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 4623 and 4631.
LCM(4623,4631) = 31×111×231×671×4211
LCM(4623,4631) = 21409113
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 4631
List of positive integer factors of 4631 that divides 4631 without a remainder.
1, 11, 421, 4631
Least Common Multiple of 4623 and 4631 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 4631, than apply into the LCM equation.
GCF(4623,4631) = 1
LCM(4623,4631) = ( 4623 × 4631) / 1
LCM(4623,4631) = 21409113 / 1
LCM(4623,4631) = 21409113
Properties of LCM 4623 and 4631
(i) The LCM of 4631 and 4623 is associative
LCM of 4623 and 4631 = LCM of 4631 and 4623
Related Least Common Multiples of 4623
Related Least Common Multiples of 4631
Frequently Asked Questions on LCM of 4623 and 4631
1. What is the LCM of 4623 and 4631?
Answer: LCM of 4623 and 4631 is 21409113.
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 4631?
Answer: Factors of 4631 are 1, 11, 421, 4631. There are 4 integers that are factors of 4631. The greatest factor of 4631 is 4631.
4. How to Find the LCM of 4623 and 4631?
Answer:
Least Common Multiple of 4623 and 4631 = 21409113
Step 1: Find the prime factorization of 4623
4623 = 3 x 23 x 67
Step 2: Find the prime factorization of 4631
4631 = 11 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21409113 = 3 x 11 x 23 x 67 x 421
Step 4: Therefore, the least common multiple of 4623 and 4631 is 21409113.