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 2909 the smallest integer that is 8456463 that is divisible by both numbers.
Least Common Multiple (LCM) of 2907 and 2909 is 8456463.
LCM(2907,2909) = 8456463
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 2907 and 2909. First we will calculate the prime factors of 2907 and 2909.
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 2909
2909 | 2909 |
1 |
Prime factors of 2909 are 2909. Prime factorization of 2909 in exponential form is:
2909 = 29091
Now multiplying the highest exponent prime factors to calculate the LCM of 2907 and 2909.
LCM(2907,2909) = 32×171×191×29091
LCM(2907,2909) = 8456463
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 2909
List of positive integer factors of 2909 that divides 2909 without a remainder.
1, 2909
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2907 and 2909, than apply into the LCM equation.
GCF(2907,2909) = 1
LCM(2907,2909) = ( 2907 × 2909) / 1
LCM(2907,2909) = 8456463 / 1
LCM(2907,2909) = 8456463
(i) The LCM of 2909 and 2907 is associative
LCM of 2907 and 2909 = LCM of 2909 and 2907
1. What is the LCM of 2907 and 2909?
Answer: LCM of 2907 and 2909 is 8456463.
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 2909?
Answer: Factors of 2909 are 1, 2909. There are 2 integers that are factors of 2909. The greatest factor of 2909 is 2909.
4. How to Find the LCM of 2907 and 2909?
Answer:
Least Common Multiple of 2907 and 2909 = 8456463
Step 1: Find the prime factorization of 2907
2907 = 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 2909
2909 = 2909
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8456463 = 3 x 3 x 17 x 19 x 2909
Step 4: Therefore, the least common multiple of 2907 and 2909 is 8456463.