Least Common Multiple of 2906 and 2907
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2906 and 2907 the smallest integer that is 8447742 that is divisible by both numbers.
Least Common Multiple (LCM) of 2906 and 2907 is 8447742.
LCM(2906,2907) = 8447742
LCM of 2906 and 2907
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2906 and 2907 by Prime method
- Least Common Multiple of 2906 and 2907 with GCF Formula
LCM of 2906 and 2907 is 8447742
Least common multiple can be found by multiplying the highest exponent prime factors of 2906 and 2907. First we will calculate the prime factors of 2906 and 2907.
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
Prime Factorization of 2907
| 3 | 2907 |
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 2907 are 3, 17,19. Prime factorization of 2907 in exponential form is:
2907 = 32×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 2906 and 2907.
LCM(2906,2907) = 21×32×171×191×14531
LCM(2906,2907) = 8447742
Factors of 2906
List of positive integer factors of 2906 that divides 2906 without a remainder.
1, 2, 1453, 2906
Factors of 2907
List of positive integer factors of 2907 that divides 2907 without a remainder.
1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907
Least Common Multiple of 2906 and 2907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2906 and 2907, than apply into the LCM equation.
GCF(2906,2907) = 1
LCM(2906,2907) = ( 2906 × 2907) / 1
LCM(2906,2907) = 8447742 / 1
LCM(2906,2907) = 8447742
Properties of LCM 2906 and 2907
(i) The LCM of 2907 and 2906 is associative
LCM of 2906 and 2907 = LCM of 2907 and 2906
Related Least Common Multiples of 2906
Related Least Common Multiples of 2907
Frequently Asked Questions on LCM of 2906 and 2907
1. What is the LCM of 2906 and 2907?
Answer: LCM of 2906 and 2907 is 8447742.
2. 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.
3. What are the Factors of 2907?
Answer: Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. There are 12 integers that are factors of 2907. The greatest factor of 2907 is 2907.
4. How to Find the LCM of 2906 and 2907?
Answer:
Least Common Multiple of 2906 and 2907 = 8447742
Step 1: Find the prime factorization of 2906
2906 = 2 x 1453
Step 2: Find the prime factorization of 2907
2907 = 3 x 3 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8447742 = 2 x 3 x 3 x 17 x 19 x 1453
Step 4: Therefore, the least common multiple of 2906 and 2907 is 8447742.
