Least Common Multiple of 4815 and 4823
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4815 and 4823 the smallest integer that is 23222745 that is divisible by both numbers.
Least Common Multiple (LCM) of 4815 and 4823 is 23222745.
LCM(4815,4823) = 23222745
LCM of 4815 and 4823
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4815 and 4823 by Prime method
- Least Common Multiple of 4815 and 4823 with GCF Formula
LCM of 4815 and 4823 is 23222745
Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4823. First we will calculate the prime factors of 4815 and 4823.
Prime Factorization of 4815
| 3 | 4815 |
| 3 | 1605 |
| 5 | 535 |
| 107 | 107 |
| 1 |
Prime factors of 4815 are 3, 5,107. Prime factorization of 4815 in exponential form is:
4815 = 32×51×1071
Prime Factorization of 4823
| 7 | 4823 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 4823 are 7, 13,53. Prime factorization of 4823 in exponential form is:
4823 = 71×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4823.
LCM(4815,4823) = 32×51×71×131×531×1071
LCM(4815,4823) = 23222745
Factors of 4815
List of positive integer factors of 4815 that divides 4815 without a remainder.
1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815
Factors of 4823
List of positive integer factors of 4823 that divides 4823 without a remainder.
1, 7, 13, 53, 91, 371, 689, 4823
Least Common Multiple of 4815 and 4823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4815 and 4823, than apply into the LCM equation.
GCF(4815,4823) = 1
LCM(4815,4823) = ( 4815 × 4823) / 1
LCM(4815,4823) = 23222745 / 1
LCM(4815,4823) = 23222745
Properties of LCM 4815 and 4823
(i) The LCM of 4823 and 4815 is associative
LCM of 4815 and 4823 = LCM of 4823 and 4815
Related Least Common Multiples of 4815
Related Least Common Multiples of 4823
Frequently Asked Questions on LCM of 4815 and 4823
1. What is the LCM of 4815 and 4823?
Answer: LCM of 4815 and 4823 is 23222745.
2. What are the Factors of 4815?
Answer: Factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815. There are 12 integers that are factors of 4815. The greatest factor of 4815 is 4815.
3. What are the Factors of 4823?
Answer: Factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823. There are 8 integers that are factors of 4823. The greatest factor of 4823 is 4823.
4. How to Find the LCM of 4815 and 4823?
Answer:
Least Common Multiple of 4815 and 4823 = 23222745
Step 1: Find the prime factorization of 4815
4815 = 3 x 3 x 5 x 107
Step 2: Find the prime factorization of 4823
4823 = 7 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23222745 = 3 x 3 x 5 x 7 x 13 x 53 x 107
Step 4: Therefore, the least common multiple of 4815 and 4823 is 23222745.