Least Common Multiple of 2900 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 2900 and 2907 the smallest integer that is 8430300 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2907 is 8430300.

LCM(2900,2907) = 8430300

LCM of 2900 and 2907

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

LCM of:
and

Least Common Multiple of 2900 and 2907

LCM of 2900 and 2907 is 8430300

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2907. First we will calculate the prime factors of 2900 and 2907.

Prime Factorization of 2900


2 2900
2 1450
5 725
5 145
29 29
1

Prime factors of 2900 are 2, 5,29. Prime factorization of 2900 in exponential form is:

2900 = 22×52×291

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 2900 and 2907.

LCM(2900,2907) = 22×32×52×171×191×291
LCM(2900,2907) = 8430300

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900

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 2900 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 2900 and 2907, than apply into the LCM equation.

GCF(2900,2907) = 1
LCM(2900,2907) = ( 2900 × 2907) / 1
LCM(2900,2907) = 8430300 / 1
LCM(2900,2907) = 8430300

Properties of LCM 2900 and 2907

(i) The LCM of 2907 and 2900 is associative

LCM of 2900 and 2907 = LCM of 2907 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2907

Frequently Asked Questions on LCM of 2900 and 2907

1. What is the LCM of 2900 and 2907?

Answer: LCM of 2900 and 2907 is 8430300.

2. What are the Factors of 2900?

Answer: Factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900. There are 18 integers that are factors of 2900. The greatest factor of 2900 is 2900.

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 2900 and 2907?

Answer:

Least Common Multiple of 2900 and 2907 = 8430300

Step 1: Find the prime factorization of 2900

2900 = 2 x 2 x 5 x 5 x 29

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 = 8430300 = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 2900 and 2907 is 8430300.