Least Common Multiple of 2902 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 2902 and 2907 the smallest integer that is 8436114 that is divisible by both numbers.
Least Common Multiple (LCM) of 2902 and 2907 is 8436114.
LCM(2902,2907) = 8436114
LCM of 2902 and 2907
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2902 and 2907 by Prime method
- Least Common Multiple of 2902 and 2907 with GCF Formula
LCM of 2902 and 2907 is 8436114
Least common multiple can be found by multiplying the highest exponent prime factors of 2902 and 2907. First we will calculate the prime factors of 2902 and 2907.
Prime Factorization of 2902
| 2 | 2902 |
| 1451 | 1451 |
| 1 |
Prime factors of 2902 are 2,1451. Prime factorization of 2902 in exponential form is:
2902 = 21×14511
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 2902 and 2907.
LCM(2902,2907) = 21×32×171×191×14511
LCM(2902,2907) = 8436114
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1, 2, 1451, 2902
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 2902 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 2902 and 2907, than apply into the LCM equation.
GCF(2902,2907) = 1
LCM(2902,2907) = ( 2902 × 2907) / 1
LCM(2902,2907) = 8436114 / 1
LCM(2902,2907) = 8436114
Properties of LCM 2902 and 2907
(i) The LCM of 2907 and 2902 is associative
LCM of 2902 and 2907 = LCM of 2907 and 2902
Related Least Common Multiples of 2902
Related Least Common Multiples of 2907
Frequently Asked Questions on LCM of 2902 and 2907
1. What is the LCM of 2902 and 2907?
Answer: LCM of 2902 and 2907 is 8436114.
2. What are the Factors of 2902?
Answer: Factors of 2902 are 1, 2, 1451, 2902. There are 4 integers that are factors of 2902. The greatest factor of 2902 is 2902.
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 2902 and 2907?
Answer:
Least Common Multiple of 2902 and 2907 = 8436114
Step 1: Find the prime factorization of 2902
2902 = 2 x 1451
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 = 8436114 = 2 x 3 x 3 x 17 x 19 x 1451
Step 4: Therefore, the least common multiple of 2902 and 2907 is 8436114.