Least Common Multiple of 4902 and 4909
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4902 and 4909 the smallest integer that is 24063918 that is divisible by both numbers.
Least Common Multiple (LCM) of 4902 and 4909 is 24063918.
LCM(4902,4909) = 24063918
LCM of 4902 and 4909
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4902 and 4909 by Prime method
- Least Common Multiple of 4902 and 4909 with GCF Formula
LCM of 4902 and 4909 is 24063918
Least common multiple can be found by multiplying the highest exponent prime factors of 4902 and 4909. First we will calculate the prime factors of 4902 and 4909.
Prime Factorization of 4902
| 2 | 4902 |
| 3 | 2451 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 4902 are 2, 3, 19,43. Prime factorization of 4902 in exponential form is:
4902 = 21×31×191×431
Prime Factorization of 4909
| 4909 | 4909 |
| 1 |
Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:
4909 = 49091
Now multiplying the highest exponent prime factors to calculate the LCM of 4902 and 4909.
LCM(4902,4909) = 21×31×191×431×49091
LCM(4902,4909) = 24063918
Factors of 4902
List of positive integer factors of 4902 that divides 4902 without a remainder.
1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
Factors of 4909
List of positive integer factors of 4909 that divides 4909 without a remainder.
1, 4909
Least Common Multiple of 4902 and 4909 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4902 and 4909, than apply into the LCM equation.
GCF(4902,4909) = 1
LCM(4902,4909) = ( 4902 × 4909) / 1
LCM(4902,4909) = 24063918 / 1
LCM(4902,4909) = 24063918
Properties of LCM 4902 and 4909
(i) The LCM of 4909 and 4902 is associative
LCM of 4902 and 4909 = LCM of 4909 and 4902
Related Least Common Multiples of 4902
Related Least Common Multiples of 4909
Frequently Asked Questions on LCM of 4902 and 4909
1. What is the LCM of 4902 and 4909?
Answer: LCM of 4902 and 4909 is 24063918.
2. What are the Factors of 4902?
Answer: Factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902. There are 16 integers that are factors of 4902. The greatest factor of 4902 is 4902.
3. What are the Factors of 4909?
Answer: Factors of 4909 are 1, 4909. There are 2 integers that are factors of 4909. The greatest factor of 4909 is 4909.
4. How to Find the LCM of 4902 and 4909?
Answer:
Least Common Multiple of 4902 and 4909 = 24063918
Step 1: Find the prime factorization of 4902
4902 = 2 x 3 x 19 x 43
Step 2: Find the prime factorization of 4909
4909 = 4909
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24063918 = 2 x 3 x 19 x 43 x 4909
Step 4: Therefore, the least common multiple of 4902 and 4909 is 24063918.