Least Common Multiple of 4909 and 4914
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4909 and 4914 the smallest integer that is 24122826 that is divisible by both numbers.
Least Common Multiple (LCM) of 4909 and 4914 is 24122826.
LCM(4909,4914) = 24122826
LCM of 4909 and 4914
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4909 and 4914 by Prime method
- Least Common Multiple of 4909 and 4914 with GCF Formula
LCM of 4909 and 4914 is 24122826
Least common multiple can be found by multiplying the highest exponent prime factors of 4909 and 4914. First we will calculate the prime factors of 4909 and 4914.
Prime Factorization of 4909
| 4909 | 4909 |
| 1 |
Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:
4909 = 49091
Prime Factorization of 4914
| 2 | 4914 |
| 3 | 2457 |
| 3 | 819 |
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 4914 are 2, 3, 7,13. Prime factorization of 4914 in exponential form is:
4914 = 21×33×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 4909 and 4914.
LCM(4909,4914) = 21×33×71×131×49091
LCM(4909,4914) = 24122826
Factors of 4909
List of positive integer factors of 4909 that divides 4909 without a remainder.
1, 4909
Factors of 4914
List of positive integer factors of 4914 that divides 4914 without a remainder.
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
Least Common Multiple of 4909 and 4914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4909 and 4914, than apply into the LCM equation.
GCF(4909,4914) = 1
LCM(4909,4914) = ( 4909 × 4914) / 1
LCM(4909,4914) = 24122826 / 1
LCM(4909,4914) = 24122826
Properties of LCM 4909 and 4914
(i) The LCM of 4914 and 4909 is associative
LCM of 4909 and 4914 = LCM of 4914 and 4909
Related Least Common Multiples of 4909
Related Least Common Multiples of 4914
Frequently Asked Questions on LCM of 4909 and 4914
1. What is the LCM of 4909 and 4914?
Answer: LCM of 4909 and 4914 is 24122826.
2. 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.
3. What are the Factors of 4914?
Answer: Factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914. There are 32 integers that are factors of 4914. The greatest factor of 4914 is 4914.
4. How to Find the LCM of 4909 and 4914?
Answer:
Least Common Multiple of 4909 and 4914 = 24122826
Step 1: Find the prime factorization of 4909
4909 = 4909
Step 2: Find the prime factorization of 4914
4914 = 2 x 3 x 3 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24122826 = 2 x 3 x 3 x 3 x 7 x 13 x 4909
Step 4: Therefore, the least common multiple of 4909 and 4914 is 24122826.