Least Common Multiple of 4891 and 4897
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 4897 the smallest integer that is 23951227 that is divisible by both numbers.
Least Common Multiple (LCM) of 4891 and 4897 is 23951227.
LCM(4891,4897) = 23951227
LCM of 4891 and 4897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4891 and 4897 by Prime method
- Least Common Multiple of 4891 and 4897 with GCF Formula
LCM of 4891 and 4897 is 23951227
Least common multiple can be found by multiplying the highest exponent prime factors of 4891 and 4897. First we will calculate the prime factors of 4891 and 4897.
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 4897
| 59 | 4897 |
| 83 | 83 |
| 1 |
Prime factors of 4897 are 59,83. Prime factorization of 4897 in exponential form is:
4897 = 591×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4891 and 4897.
LCM(4891,4897) = 591×671×731×831
LCM(4891,4897) = 23951227
Factors of 4891
List of positive integer factors of 4891 that divides 4891 without a remainder.
1, 67, 73, 4891
Factors of 4897
List of positive integer factors of 4897 that divides 4897 without a remainder.
1, 59, 83, 4897
Least Common Multiple of 4891 and 4897 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 4897, than apply into the LCM equation.
GCF(4891,4897) = 1
LCM(4891,4897) = ( 4891 × 4897) / 1
LCM(4891,4897) = 23951227 / 1
LCM(4891,4897) = 23951227
Properties of LCM 4891 and 4897
(i) The LCM of 4897 and 4891 is associative
LCM of 4891 and 4897 = LCM of 4897 and 4891
Related Least Common Multiples of 4891
Related Least Common Multiples of 4897
Frequently Asked Questions on LCM of 4891 and 4897
1. What is the LCM of 4891 and 4897?
Answer: LCM of 4891 and 4897 is 23951227.
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 4897?
Answer: Factors of 4897 are 1, 59, 83, 4897. There are 4 integers that are factors of 4897. The greatest factor of 4897 is 4897.
4. How to Find the LCM of 4891 and 4897?
Answer:
Least Common Multiple of 4891 and 4897 = 23951227
Step 1: Find the prime factorization of 4891
4891 = 67 x 73
Step 2: Find the prime factorization of 4897
4897 = 59 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23951227 = 59 x 67 x 73 x 83
Step 4: Therefore, the least common multiple of 4891 and 4897 is 23951227.