Least Common Multiple of 2917 and 2925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2917 and 2925 the smallest integer that is 8532225 that is divisible by both numbers.

Least Common Multiple (LCM) of 2917 and 2925 is 8532225.

LCM(2917,2925) = 8532225

LCM of 2917 and 2925

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

LCM of:
and

Least Common Multiple of 2917 and 2925

LCM of 2917 and 2925 is 8532225

Least common multiple can be found by multiplying the highest exponent prime factors of 2917 and 2925. First we will calculate the prime factors of 2917 and 2925.

Prime Factorization of 2917


2917 2917
1

Prime factors of 2917 are 2917. Prime factorization of 2917 in exponential form is:

2917 = 29171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2917 and 2925.

LCM(2917,2925) = 32×52×131×29171
LCM(2917,2925) = 8532225

Factors of 2917

List of positive integer factors of 2917 that divides 2917 without a remainder.

1, 2917

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

Least Common Multiple of 2917 and 2925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2917 and 2925, than apply into the LCM equation.

GCF(2917,2925) = 1
LCM(2917,2925) = ( 2917 × 2925) / 1
LCM(2917,2925) = 8532225 / 1
LCM(2917,2925) = 8532225

Properties of LCM 2917 and 2925

(i) The LCM of 2925 and 2917 is associative

LCM of 2917 and 2925 = LCM of 2925 and 2917

Related Least Common Multiples of 2917

Related Least Common Multiples of 2925

Frequently Asked Questions on LCM of 2917 and 2925

1. What is the LCM of 2917 and 2925?

Answer: LCM of 2917 and 2925 is 8532225.

2. What are the Factors of 2917?

Answer: Factors of 2917 are 1, 2917. There are 2 integers that are factors of 2917. The greatest factor of 2917 is 2917.

3. 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.

4. How to Find the LCM of 2917 and 2925?

Answer:

Least Common Multiple of 2917 and 2925 = 8532225

Step 1: Find the prime factorization of 2917

2917 = 2917

Step 2: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

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

LCM = 8532225 = 3 x 3 x 5 x 5 x 13 x 2917

Step 4: Therefore, the least common multiple of 2917 and 2925 is 8532225.