Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2905 and 2906 the smallest integer that is 8441930 that is divisible by both numbers.
Least Common Multiple (LCM) of 2905 and 2906 is 8441930.
LCM(2905,2906) = 8441930
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 2905 and 2906. First we will calculate the prime factors of 2905 and 2906.
Prime Factorization of 2905
5 | 2905 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 2905 are 5, 7,83. Prime factorization of 2905 in exponential form is:
2905 = 51×71×831
Prime Factorization of 2906
2 | 2906 |
1453 | 1453 |
1 |
Prime factors of 2906 are 2,1453. Prime factorization of 2906 in exponential form is:
2906 = 21×14531
Now multiplying the highest exponent prime factors to calculate the LCM of 2905 and 2906.
LCM(2905,2906) = 21×51×71×831×14531
LCM(2905,2906) = 8441930
Factors of 2905
List of positive integer factors of 2905 that divides 2905 without a remainder.
1, 5, 7, 35, 83, 415, 581, 2905
Factors of 2906
List of positive integer factors of 2906 that divides 2906 without a remainder.
1, 2, 1453, 2906
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2905 and 2906, than apply into the LCM equation.
GCF(2905,2906) = 1
LCM(2905,2906) = ( 2905 × 2906) / 1
LCM(2905,2906) = 8441930 / 1
LCM(2905,2906) = 8441930
(i) The LCM of 2906 and 2905 is associative
LCM of 2905 and 2906 = LCM of 2906 and 2905
1. What is the LCM of 2905 and 2906?
Answer: LCM of 2905 and 2906 is 8441930.
2. What are the Factors of 2905?
Answer: Factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905. There are 8 integers that are factors of 2905. The greatest factor of 2905 is 2905.
3. What are the Factors of 2906?
Answer: Factors of 2906 are 1, 2, 1453, 2906. There are 4 integers that are factors of 2906. The greatest factor of 2906 is 2906.
4. How to Find the LCM of 2905 and 2906?
Answer:
Least Common Multiple of 2905 and 2906 = 8441930
Step 1: Find the prime factorization of 2905
2905 = 5 x 7 x 83
Step 2: Find the prime factorization of 2906
2906 = 2 x 1453
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8441930 = 2 x 5 x 7 x 83 x 1453
Step 4: Therefore, the least common multiple of 2905 and 2906 is 8441930.