Least Common Multiple of 2907 and 2914
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2907 and 2914 the smallest integer that is 8470998 that is divisible by both numbers.
Least Common Multiple (LCM) of 2907 and 2914 is 8470998.
LCM(2907,2914) = 8470998
LCM of 2907 and 2914
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2907 and 2914 by Prime method
- Least Common Multiple of 2907 and 2914 with GCF Formula
LCM of 2907 and 2914 is 8470998
Least common multiple can be found by multiplying the highest exponent prime factors of 2907 and 2914. First we will calculate the prime factors of 2907 and 2914.
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
Prime Factorization of 2914
| 2 | 2914 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 2914 are 2, 31,47. Prime factorization of 2914 in exponential form is:
2914 = 21×311×471
Now multiplying the highest exponent prime factors to calculate the LCM of 2907 and 2914.
LCM(2907,2914) = 21×32×171×191×311×471
LCM(2907,2914) = 8470998
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
Factors of 2914
List of positive integer factors of 2914 that divides 2914 without a remainder.
1, 2, 31, 47, 62, 94, 1457, 2914
Least Common Multiple of 2907 and 2914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2907 and 2914, than apply into the LCM equation.
GCF(2907,2914) = 1
LCM(2907,2914) = ( 2907 × 2914) / 1
LCM(2907,2914) = 8470998 / 1
LCM(2907,2914) = 8470998
Properties of LCM 2907 and 2914
(i) The LCM of 2914 and 2907 is associative
LCM of 2907 and 2914 = LCM of 2914 and 2907
Related Least Common Multiples of 2907
Related Least Common Multiples of 2914
Frequently Asked Questions on LCM of 2907 and 2914
1. What is the LCM of 2907 and 2914?
Answer: LCM of 2907 and 2914 is 8470998.
2. 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.
3. What are the Factors of 2914?
Answer: Factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914. There are 8 integers that are factors of 2914. The greatest factor of 2914 is 2914.
4. How to Find the LCM of 2907 and 2914?
Answer:
Least Common Multiple of 2907 and 2914 = 8470998
Step 1: Find the prime factorization of 2907
2907 = 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 2914
2914 = 2 x 31 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8470998 = 2 x 3 x 3 x 17 x 19 x 31 x 47
Step 4: Therefore, the least common multiple of 2907 and 2914 is 8470998.