Least Common Multiple of 2907 and 2909

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

LCM of 2907 and 2909

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2907 and 2909

LCM of 2907 and 2909 is 8456463

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

Least Common Multiple of 2907 and 2909 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 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

Properties of LCM 2907 and 2909

(i) The LCM of 2909 and 2907 is associative

LCM of 2907 and 2909 = LCM of 2909 and 2907

Related Least Common Multiples of 2907

Related Least Common Multiples of 2909

Frequently Asked Questions on LCM of 2907 and 2909

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.