Least Common Multiple of 2899 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 2899 and 2907 the smallest integer that is 8427393 that is divisible by both numbers.

Least Common Multiple (LCM) of 2899 and 2907 is 8427393.

LCM(2899,2907) = 8427393

LCM of 2899 and 2907

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

LCM of:
and

Least Common Multiple of 2899 and 2907

LCM of 2899 and 2907 is 8427393

Least common multiple can be found by multiplying the highest exponent prime factors of 2899 and 2907. First we will calculate the prime factors of 2899 and 2907.

Prime Factorization of 2899


13 2899
223 223
1

Prime factors of 2899 are 13,223. Prime factorization of 2899 in exponential form is:

2899 = 131×2231

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 2899 and 2907.

LCM(2899,2907) = 32×131×171×191×2231
LCM(2899,2907) = 8427393

Factors of 2899

List of positive integer factors of 2899 that divides 2899 without a remainder.

1, 13, 223, 2899

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 2899 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 2899 and 2907, than apply into the LCM equation.

GCF(2899,2907) = 1
LCM(2899,2907) = ( 2899 × 2907) / 1
LCM(2899,2907) = 8427393 / 1
LCM(2899,2907) = 8427393

Properties of LCM 2899 and 2907

(i) The LCM of 2907 and 2899 is associative

LCM of 2899 and 2907 = LCM of 2907 and 2899

Frequently Asked Questions on LCM of 2899 and 2907

1. What is the LCM of 2899 and 2907?

Answer: LCM of 2899 and 2907 is 8427393.

2. What are the Factors of 2899?

Answer: Factors of 2899 are 1, 13, 223, 2899. There are 4 integers that are factors of 2899. The greatest factor of 2899 is 2899.

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 2899 and 2907?

Answer:

Least Common Multiple of 2899 and 2907 = 8427393

Step 1: Find the prime factorization of 2899

2899 = 13 x 223

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 = 8427393 = 3 x 3 x 13 x 17 x 19 x 223

Step 4: Therefore, the least common multiple of 2899 and 2907 is 8427393.