Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2898 and 2903 the smallest integer that is 8412894 that is divisible by both numbers.
Least Common Multiple (LCM) of 2898 and 2903 is 8412894.
LCM(2898,2903) = 8412894
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2898 and 2903. First we will calculate the prime factors of 2898 and 2903.
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
Prime Factorization of 2903
2903 | 2903 |
1 |
Prime factors of 2903 are 2903. Prime factorization of 2903 in exponential form is:
2903 = 29031
Now multiplying the highest exponent prime factors to calculate the LCM of 2898 and 2903.
LCM(2898,2903) = 21×32×71×231×29031
LCM(2898,2903) = 8412894
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
Factors of 2903
List of positive integer factors of 2903 that divides 2903 without a remainder.
1, 2903
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2898 and 2903, than apply into the LCM equation.
GCF(2898,2903) = 1
LCM(2898,2903) = ( 2898 × 2903) / 1
LCM(2898,2903) = 8412894 / 1
LCM(2898,2903) = 8412894
(i) The LCM of 2903 and 2898 is associative
LCM of 2898 and 2903 = LCM of 2903 and 2898
1. What is the LCM of 2898 and 2903?
Answer: LCM of 2898 and 2903 is 8412894.
2. 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.
3. What are the Factors of 2903?
Answer: Factors of 2903 are 1, 2903. There are 2 integers that are factors of 2903. The greatest factor of 2903 is 2903.
4. How to Find the LCM of 2898 and 2903?
Answer:
Least Common Multiple of 2898 and 2903 = 8412894
Step 1: Find the prime factorization of 2898
2898 = 2 x 3 x 3 x 7 x 23
Step 2: Find the prime factorization of 2903
2903 = 2903
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8412894 = 2 x 3 x 3 x 7 x 23 x 2903
Step 4: Therefore, the least common multiple of 2898 and 2903 is 8412894.