Least Common Multiple of 4901 and 4906
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4901 and 4906 the smallest integer that is 24044306 that is divisible by both numbers.
Least Common Multiple (LCM) of 4901 and 4906 is 24044306.
LCM(4901,4906) = 24044306
LCM of 4901 and 4906
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4901 and 4906 by Prime method
- Least Common Multiple of 4901 and 4906 with GCF Formula
LCM of 4901 and 4906 is 24044306
Least common multiple can be found by multiplying the highest exponent prime factors of 4901 and 4906. First we will calculate the prime factors of 4901 and 4906.
Prime Factorization of 4901
| 13 | 4901 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 4901 are 13,29. Prime factorization of 4901 in exponential form is:
4901 = 132×291
Prime Factorization of 4906
| 2 | 4906 |
| 11 | 2453 |
| 223 | 223 |
| 1 |
Prime factors of 4906 are 2, 11,223. Prime factorization of 4906 in exponential form is:
4906 = 21×111×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 4901 and 4906.
LCM(4901,4906) = 21×111×132×291×2231
LCM(4901,4906) = 24044306
Factors of 4901
List of positive integer factors of 4901 that divides 4901 without a remainder.
1, 13, 29, 169, 377, 4901
Factors of 4906
List of positive integer factors of 4906 that divides 4906 without a remainder.
1, 2, 11, 22, 223, 446, 2453, 4906
Least Common Multiple of 4901 and 4906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4901 and 4906, than apply into the LCM equation.
GCF(4901,4906) = 1
LCM(4901,4906) = ( 4901 × 4906) / 1
LCM(4901,4906) = 24044306 / 1
LCM(4901,4906) = 24044306
Properties of LCM 4901 and 4906
(i) The LCM of 4906 and 4901 is associative
LCM of 4901 and 4906 = LCM of 4906 and 4901
Related Least Common Multiples of 4901
Related Least Common Multiples of 4906
Frequently Asked Questions on LCM of 4901 and 4906
1. What is the LCM of 4901 and 4906?
Answer: LCM of 4901 and 4906 is 24044306.
2. What are the Factors of 4901?
Answer: Factors of 4901 are 1, 13, 29, 169, 377, 4901. There are 6 integers that are factors of 4901. The greatest factor of 4901 is 4901.
3. What are the Factors of 4906?
Answer: Factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906. There are 8 integers that are factors of 4906. The greatest factor of 4906 is 4906.
4. How to Find the LCM of 4901 and 4906?
Answer:
Least Common Multiple of 4901 and 4906 = 24044306
Step 1: Find the prime factorization of 4901
4901 = 13 x 13 x 29
Step 2: Find the prime factorization of 4906
4906 = 2 x 11 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24044306 = 2 x 11 x 13 x 13 x 29 x 223
Step 4: Therefore, the least common multiple of 4901 and 4906 is 24044306.