Least Common Multiple of 4891 and 4899
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4891 and 4899 the smallest integer that is 23961009 that is divisible by both numbers.
Least Common Multiple (LCM) of 4891 and 4899 is 23961009.
LCM(4891,4899) = 23961009
LCM of 4891 and 4899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4891 and 4899 by Prime method
- Least Common Multiple of 4891 and 4899 with GCF Formula
LCM of 4891 and 4899 is 23961009
Least common multiple can be found by multiplying the highest exponent prime factors of 4891 and 4899. First we will calculate the prime factors of 4891 and 4899.
Prime Factorization of 4891
| 67 | 4891 |
| 73 | 73 |
| 1 |
Prime factors of 4891 are 67,73. Prime factorization of 4891 in exponential form is:
4891 = 671×731
Prime Factorization of 4899
| 3 | 4899 |
| 23 | 1633 |
| 71 | 71 |
| 1 |
Prime factors of 4899 are 3, 23,71. Prime factorization of 4899 in exponential form is:
4899 = 31×231×711
Now multiplying the highest exponent prime factors to calculate the LCM of 4891 and 4899.
LCM(4891,4899) = 31×231×671×711×731
LCM(4891,4899) = 23961009
Factors of 4891
List of positive integer factors of 4891 that divides 4891 without a remainder.
1, 67, 73, 4891
Factors of 4899
List of positive integer factors of 4899 that divides 4899 without a remainder.
1, 3, 23, 69, 71, 213, 1633, 4899
Least Common Multiple of 4891 and 4899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4891 and 4899, than apply into the LCM equation.
GCF(4891,4899) = 1
LCM(4891,4899) = ( 4891 × 4899) / 1
LCM(4891,4899) = 23961009 / 1
LCM(4891,4899) = 23961009
Properties of LCM 4891 and 4899
(i) The LCM of 4899 and 4891 is associative
LCM of 4891 and 4899 = LCM of 4899 and 4891
Related Least Common Multiples of 4891
Related Least Common Multiples of 4899
Frequently Asked Questions on LCM of 4891 and 4899
1. What is the LCM of 4891 and 4899?
Answer: LCM of 4891 and 4899 is 23961009.
2. What are the Factors of 4891?
Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.
3. What are the Factors of 4899?
Answer: Factors of 4899 are 1, 3, 23, 69, 71, 213, 1633, 4899. There are 8 integers that are factors of 4899. The greatest factor of 4899 is 4899.
4. How to Find the LCM of 4891 and 4899?
Answer:
Least Common Multiple of 4891 and 4899 = 23961009
Step 1: Find the prime factorization of 4891
4891 = 67 x 73
Step 2: Find the prime factorization of 4899
4899 = 3 x 23 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23961009 = 3 x 23 x 67 x 71 x 73
Step 4: Therefore, the least common multiple of 4891 and 4899 is 23961009.