Least Common Multiple of 2925 and 2931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2925 and 2931 the smallest integer that is 2857725 that is divisible by both numbers.

Least Common Multiple (LCM) of 2925 and 2931 is 2857725.

LCM(2925,2931) = 2857725

LCM of 2925 and 2931

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

LCM of:
and

Least Common Multiple of 2925 and 2931

LCM of 2925 and 2931 is 2857725

Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2931. First we will calculate the prime factors of 2925 and 2931.

Prime Factorization of 2925


3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 2925 are 3, 5,13. Prime factorization of 2925 in exponential form is:

2925 = 32×52×131

Prime Factorization of 2931


3 2931
977 977
1

Prime factors of 2931 are 3,977. Prime factorization of 2931 in exponential form is:

2931 = 31×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2931.

LCM(2925,2931) = 32×52×131×9771
LCM(2925,2931) = 2857725

Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925

Factors of 2931

List of positive integer factors of 2931 that divides 2931 without a remainder.

1, 3, 977, 2931

Least Common Multiple of 2925 and 2931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2925 and 2931, than apply into the LCM equation.

GCF(2925,2931) = 3
LCM(2925,2931) = ( 2925 × 2931) / 3
LCM(2925,2931) = 8573175 / 3
LCM(2925,2931) = 2857725

Properties of LCM 2925 and 2931

(i) The LCM of 2931 and 2925 is associative

LCM of 2925 and 2931 = LCM of 2931 and 2925

Related Least Common Multiples of 2925

Related Least Common Multiples of 2931

Frequently Asked Questions on LCM of 2925 and 2931

1. What is the LCM of 2925 and 2931?

Answer: LCM of 2925 and 2931 is 2857725.

2. What are the Factors of 2925?

Answer: Factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925. There are 18 integers that are factors of 2925. The greatest factor of 2925 is 2925.

3. What are the Factors of 2931?

Answer: Factors of 2931 are 1, 3, 977, 2931. There are 4 integers that are factors of 2931. The greatest factor of 2931 is 2931.

4. How to Find the LCM of 2925 and 2931?

Answer:

Least Common Multiple of 2925 and 2931 = 2857725

Step 1: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 2931

2931 = 3 x 977

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

LCM = 2857725 = 3 x 3 x 5 x 5 x 13 x 977

Step 4: Therefore, the least common multiple of 2925 and 2931 is 2857725.