Least Common Multiple of 4802 and 4809
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4802 and 4809 the smallest integer that is 3298974 that is divisible by both numbers.
Least Common Multiple (LCM) of 4802 and 4809 is 3298974.
LCM(4802,4809) = 3298974
LCM of 4802 and 4809
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4802 and 4809 by Prime method
- Least Common Multiple of 4802 and 4809 with GCF Formula
LCM of 4802 and 4809 is 3298974
Least common multiple can be found by multiplying the highest exponent prime factors of 4802 and 4809. First we will calculate the prime factors of 4802 and 4809.
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
Prime Factorization of 4809
| 3 | 4809 |
| 7 | 1603 |
| 229 | 229 |
| 1 |
Prime factors of 4809 are 3, 7,229. Prime factorization of 4809 in exponential form is:
4809 = 31×71×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 4802 and 4809.
LCM(4802,4809) = 21×31×74×2291
LCM(4802,4809) = 3298974
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
Factors of 4809
List of positive integer factors of 4809 that divides 4809 without a remainder.
1, 3, 7, 21, 229, 687, 1603, 4809
Least Common Multiple of 4802 and 4809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4802 and 4809, than apply into the LCM equation.
GCF(4802,4809) = 7
LCM(4802,4809) = ( 4802 × 4809) / 7
LCM(4802,4809) = 23092818 / 7
LCM(4802,4809) = 3298974
Properties of LCM 4802 and 4809
(i) The LCM of 4809 and 4802 is associative
LCM of 4802 and 4809 = LCM of 4809 and 4802
Related Least Common Multiples of 4802
Related Least Common Multiples of 4809
Frequently Asked Questions on LCM of 4802 and 4809
1. What is the LCM of 4802 and 4809?
Answer: LCM of 4802 and 4809 is 3298974.
2. 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.
3. What are the Factors of 4809?
Answer: Factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809. There are 8 integers that are factors of 4809. The greatest factor of 4809 is 4809.
4. How to Find the LCM of 4802 and 4809?
Answer:
Least Common Multiple of 4802 and 4809 = 3298974
Step 1: Find the prime factorization of 4802
4802 = 2 x 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 4809
4809 = 3 x 7 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3298974 = 2 x 3 x 7 x 7 x 7 x 7 x 229
Step 4: Therefore, the least common multiple of 4802 and 4809 is 3298974.