Least Common Multiple of 4895 and 4901
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4895 and 4901 the smallest integer that is 23990395 that is divisible by both numbers.
Least Common Multiple (LCM) of 4895 and 4901 is 23990395.
LCM(4895,4901) = 23990395
LCM of 4895 and 4901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4895 and 4901 by Prime method
- Least Common Multiple of 4895 and 4901 with GCF Formula
LCM of 4895 and 4901 is 23990395
Least common multiple can be found by multiplying the highest exponent prime factors of 4895 and 4901. First we will calculate the prime factors of 4895 and 4901.
Prime Factorization of 4895
| 5 | 4895 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 4895 are 5, 11,89. Prime factorization of 4895 in exponential form is:
4895 = 51×111×891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4895 and 4901.
LCM(4895,4901) = 51×111×132×291×891
LCM(4895,4901) = 23990395
Factors of 4895
List of positive integer factors of 4895 that divides 4895 without a remainder.
1, 5, 11, 55, 89, 445, 979, 4895
Factors of 4901
List of positive integer factors of 4901 that divides 4901 without a remainder.
1, 13, 29, 169, 377, 4901
Least Common Multiple of 4895 and 4901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4895 and 4901, than apply into the LCM equation.
GCF(4895,4901) = 1
LCM(4895,4901) = ( 4895 × 4901) / 1
LCM(4895,4901) = 23990395 / 1
LCM(4895,4901) = 23990395
Properties of LCM 4895 and 4901
(i) The LCM of 4901 and 4895 is associative
LCM of 4895 and 4901 = LCM of 4901 and 4895
Related Least Common Multiples of 4895
Related Least Common Multiples of 4901
Frequently Asked Questions on LCM of 4895 and 4901
1. What is the LCM of 4895 and 4901?
Answer: LCM of 4895 and 4901 is 23990395.
2. What are the Factors of 4895?
Answer: Factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895. There are 8 integers that are factors of 4895. The greatest factor of 4895 is 4895.
3. 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.
4. How to Find the LCM of 4895 and 4901?
Answer:
Least Common Multiple of 4895 and 4901 = 23990395
Step 1: Find the prime factorization of 4895
4895 = 5 x 11 x 89
Step 2: Find the prime factorization of 4901
4901 = 13 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23990395 = 5 x 11 x 13 x 13 x 29 x 89
Step 4: Therefore, the least common multiple of 4895 and 4901 is 23990395.