Least Common Multiple of 2900 and 2905

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 2905 the smallest integer that is 1684900 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2905 is 1684900.

LCM(2900,2905) = 1684900

LCM of 2900 and 2905

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

LCM of:
and

Least Common Multiple of 2900 and 2905

LCM of 2900 and 2905 is 1684900

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2905. First we will calculate the prime factors of 2900 and 2905.

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 2905


5 2905
7 581
83 83
1

Prime factors of 2905 are 5, 7,83. Prime factorization of 2905 in exponential form is:

2905 = 51×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2905.

LCM(2900,2905) = 22×52×71×291×831
LCM(2900,2905) = 1684900

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 2905

List of positive integer factors of 2905 that divides 2905 without a remainder.

1, 5, 7, 35, 83, 415, 581, 2905

Least Common Multiple of 2900 and 2905 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 2905, than apply into the LCM equation.

GCF(2900,2905) = 5
LCM(2900,2905) = ( 2900 × 2905) / 5
LCM(2900,2905) = 8424500 / 5
LCM(2900,2905) = 1684900

Properties of LCM 2900 and 2905

(i) The LCM of 2905 and 2900 is associative

LCM of 2900 and 2905 = LCM of 2905 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2905

Frequently Asked Questions on LCM of 2900 and 2905

1. What is the LCM of 2900 and 2905?

Answer: LCM of 2900 and 2905 is 1684900.

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 2905?

Answer: Factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905. There are 8 integers that are factors of 2905. The greatest factor of 2905 is 2905.

4. How to Find the LCM of 2900 and 2905?

Answer:

Least Common Multiple of 2900 and 2905 = 1684900

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 2905

2905 = 5 x 7 x 83

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

LCM = 1684900 = 2 x 2 x 5 x 5 x 7 x 29 x 83

Step 4: Therefore, the least common multiple of 2900 and 2905 is 1684900.