Least Common Multiple of 4797 and 4802
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4797 and 4802 the smallest integer that is 23035194 that is divisible by both numbers.
Least Common Multiple (LCM) of 4797 and 4802 is 23035194.
LCM(4797,4802) = 23035194
LCM of 4797 and 4802
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4797 and 4802 by Prime method
- Least Common Multiple of 4797 and 4802 with GCF Formula
LCM of 4797 and 4802 is 23035194
Least common multiple can be found by multiplying the highest exponent prime factors of 4797 and 4802. First we will calculate the prime factors of 4797 and 4802.
Prime Factorization of 4797
| 3 | 4797 |
| 3 | 1599 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 4797 are 3, 13,41. Prime factorization of 4797 in exponential form is:
4797 = 32×131×411
Prime Factorization of 4802
| 2 | 4802 |
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 4802 are 2,7. Prime factorization of 4802 in exponential form is:
4802 = 21×74
Now multiplying the highest exponent prime factors to calculate the LCM of 4797 and 4802.
LCM(4797,4802) = 21×32×74×131×411
LCM(4797,4802) = 23035194
Factors of 4797
List of positive integer factors of 4797 that divides 4797 without a remainder.
1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797
Factors of 4802
List of positive integer factors of 4802 that divides 4802 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802
Least Common Multiple of 4797 and 4802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4797 and 4802, than apply into the LCM equation.
GCF(4797,4802) = 1
LCM(4797,4802) = ( 4797 × 4802) / 1
LCM(4797,4802) = 23035194 / 1
LCM(4797,4802) = 23035194
Properties of LCM 4797 and 4802
(i) The LCM of 4802 and 4797 is associative
LCM of 4797 and 4802 = LCM of 4802 and 4797
Related Least Common Multiples of 4797
Related Least Common Multiples of 4802
Frequently Asked Questions on LCM of 4797 and 4802
1. What is the LCM of 4797 and 4802?
Answer: LCM of 4797 and 4802 is 23035194.
2. What are the Factors of 4797?
Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.
3. What are the Factors of 4802?
Answer: Factors of 4802 are 1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802. There are 10 integers that are factors of 4802. The greatest factor of 4802 is 4802.
4. How to Find the LCM of 4797 and 4802?
Answer:
Least Common Multiple of 4797 and 4802 = 23035194
Step 1: Find the prime factorization of 4797
4797 = 3 x 3 x 13 x 41
Step 2: Find the prime factorization of 4802
4802 = 2 x 7 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23035194 = 2 x 3 x 3 x 7 x 7 x 7 x 7 x 13 x 41
Step 4: Therefore, the least common multiple of 4797 and 4802 is 23035194.