Least Common Multiple of 2900 and 2906

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 2906 the smallest integer that is 4213700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2906 is 4213700.

LCM(2900,2906) = 4213700

LCM of 2900 and 2906

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

LCM of:
and

Least Common Multiple of 2900 and 2906

LCM of 2900 and 2906 is 4213700

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2906. First we will calculate the prime factors of 2900 and 2906.

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 2906


2 2906
1453 1453
1

Prime factors of 2906 are 2,1453. Prime factorization of 2906 in exponential form is:

2906 = 21×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2906.

LCM(2900,2906) = 22×52×291×14531
LCM(2900,2906) = 4213700

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 2906

List of positive integer factors of 2906 that divides 2906 without a remainder.

1, 2, 1453, 2906

Least Common Multiple of 2900 and 2906 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 2906, than apply into the LCM equation.

GCF(2900,2906) = 2
LCM(2900,2906) = ( 2900 × 2906) / 2
LCM(2900,2906) = 8427400 / 2
LCM(2900,2906) = 4213700

Properties of LCM 2900 and 2906

(i) The LCM of 2906 and 2900 is associative

LCM of 2900 and 2906 = LCM of 2906 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2906

Frequently Asked Questions on LCM of 2900 and 2906

1. What is the LCM of 2900 and 2906?

Answer: LCM of 2900 and 2906 is 4213700.

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 2906?

Answer: Factors of 2906 are 1, 2, 1453, 2906. There are 4 integers that are factors of 2906. The greatest factor of 2906 is 2906.

4. How to Find the LCM of 2900 and 2906?

Answer:

Least Common Multiple of 2900 and 2906 = 4213700

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 2906

2906 = 2 x 1453

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4213700 = 2 x 2 x 5 x 5 x 29 x 1453

Step 4: Therefore, the least common multiple of 2900 and 2906 is 4213700.