Least Common Multiple of 4819 and 4825
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4819 and 4825 the smallest integer that is 23251675 that is divisible by both numbers.
Least Common Multiple (LCM) of 4819 and 4825 is 23251675.
LCM(4819,4825) = 23251675
LCM of 4819 and 4825
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4819 and 4825 by Prime method
- Least Common Multiple of 4819 and 4825 with GCF Formula
LCM of 4819 and 4825 is 23251675
Least common multiple can be found by multiplying the highest exponent prime factors of 4819 and 4825. First we will calculate the prime factors of 4819 and 4825.
Prime Factorization of 4819
| 61 | 4819 |
| 79 | 79 |
| 1 |
Prime factors of 4819 are 61,79. Prime factorization of 4819 in exponential form is:
4819 = 611×791
Prime Factorization of 4825
| 5 | 4825 |
| 5 | 965 |
| 193 | 193 |
| 1 |
Prime factors of 4825 are 5,193. Prime factorization of 4825 in exponential form is:
4825 = 52×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 4819 and 4825.
LCM(4819,4825) = 52×611×791×1931
LCM(4819,4825) = 23251675
Factors of 4819
List of positive integer factors of 4819 that divides 4819 without a remainder.
1, 61, 79, 4819
Factors of 4825
List of positive integer factors of 4825 that divides 4825 without a remainder.
1, 5, 25, 193, 965, 4825
Least Common Multiple of 4819 and 4825 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4819 and 4825, than apply into the LCM equation.
GCF(4819,4825) = 1
LCM(4819,4825) = ( 4819 × 4825) / 1
LCM(4819,4825) = 23251675 / 1
LCM(4819,4825) = 23251675
Properties of LCM 4819 and 4825
(i) The LCM of 4825 and 4819 is associative
LCM of 4819 and 4825 = LCM of 4825 and 4819
Related Least Common Multiples of 4819
Related Least Common Multiples of 4825
Frequently Asked Questions on LCM of 4819 and 4825
1. What is the LCM of 4819 and 4825?
Answer: LCM of 4819 and 4825 is 23251675.
2. What are the Factors of 4819?
Answer: Factors of 4819 are 1, 61, 79, 4819. There are 4 integers that are factors of 4819. The greatest factor of 4819 is 4819.
3. What are the Factors of 4825?
Answer: Factors of 4825 are 1, 5, 25, 193, 965, 4825. There are 6 integers that are factors of 4825. The greatest factor of 4825 is 4825.
4. How to Find the LCM of 4819 and 4825?
Answer:
Least Common Multiple of 4819 and 4825 = 23251675
Step 1: Find the prime factorization of 4819
4819 = 61 x 79
Step 2: Find the prime factorization of 4825
4825 = 5 x 5 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23251675 = 5 x 5 x 61 x 79 x 193
Step 4: Therefore, the least common multiple of 4819 and 4825 is 23251675.