Least Common Multiple of 2893 and 2898
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2893 and 2898 the smallest integer that is 8383914 that is divisible by both numbers.
Least Common Multiple (LCM) of 2893 and 2898 is 8383914.
LCM(2893,2898) = 8383914
LCM of 2893 and 2898
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2893 and 2898 by Prime method
- Least Common Multiple of 2893 and 2898 with GCF Formula
LCM of 2893 and 2898 is 8383914
Least common multiple can be found by multiplying the highest exponent prime factors of 2893 and 2898. First we will calculate the prime factors of 2893 and 2898.
Prime Factorization of 2893
| 11 | 2893 |
| 263 | 263 |
| 1 |
Prime factors of 2893 are 11,263. Prime factorization of 2893 in exponential form is:
2893 = 111×2631
Prime Factorization of 2898
| 2 | 2898 |
| 3 | 1449 |
| 3 | 483 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 2898 are 2, 3, 7,23. Prime factorization of 2898 in exponential form is:
2898 = 21×32×71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 2893 and 2898.
LCM(2893,2898) = 21×32×71×111×231×2631
LCM(2893,2898) = 8383914
Factors of 2893
List of positive integer factors of 2893 that divides 2893 without a remainder.
1, 11, 263, 2893
Factors of 2898
List of positive integer factors of 2898 that divides 2898 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
Least Common Multiple of 2893 and 2898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2893 and 2898, than apply into the LCM equation.
GCF(2893,2898) = 1
LCM(2893,2898) = ( 2893 × 2898) / 1
LCM(2893,2898) = 8383914 / 1
LCM(2893,2898) = 8383914
Properties of LCM 2893 and 2898
(i) The LCM of 2898 and 2893 is associative
LCM of 2893 and 2898 = LCM of 2898 and 2893
Related Least Common Multiples of 2893
Related Least Common Multiples of 2898
Frequently Asked Questions on LCM of 2893 and 2898
1. What is the LCM of 2893 and 2898?
Answer: LCM of 2893 and 2898 is 8383914.
2. What are the Factors of 2893?
Answer: Factors of 2893 are 1, 11, 263, 2893. There are 4 integers that are factors of 2893. The greatest factor of 2893 is 2893.
3. What are the Factors of 2898?
Answer: Factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898. There are 24 integers that are factors of 2898. The greatest factor of 2898 is 2898.
4. How to Find the LCM of 2893 and 2898?
Answer:
Least Common Multiple of 2893 and 2898 = 8383914
Step 1: Find the prime factorization of 2893
2893 = 11 x 263
Step 2: Find the prime factorization of 2898
2898 = 2 x 3 x 3 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8383914 = 2 x 3 x 3 x 7 x 11 x 23 x 263
Step 4: Therefore, the least common multiple of 2893 and 2898 is 8383914.