Least Common Multiple of 2918 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 2918 and 2925 the smallest integer that is 8535150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2918 and 2925 is 8535150.

LCM(2918,2925) = 8535150

LCM of 2918 and 2925

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

LCM of:
and

Least Common Multiple of 2918 and 2925

LCM of 2918 and 2925 is 8535150

Least common multiple can be found by multiplying the highest exponent prime factors of 2918 and 2925. First we will calculate the prime factors of 2918 and 2925.

Prime Factorization of 2918


2 2918
1459 1459
1

Prime factors of 2918 are 2,1459. Prime factorization of 2918 in exponential form is:

2918 = 21×14591

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 2918 and 2925.

LCM(2918,2925) = 21×32×52×131×14591
LCM(2918,2925) = 8535150

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1, 2, 1459, 2918

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 2918 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 2918 and 2925, than apply into the LCM equation.

GCF(2918,2925) = 1
LCM(2918,2925) = ( 2918 × 2925) / 1
LCM(2918,2925) = 8535150 / 1
LCM(2918,2925) = 8535150

Properties of LCM 2918 and 2925

(i) The LCM of 2925 and 2918 is associative

LCM of 2918 and 2925 = LCM of 2925 and 2918

Related Least Common Multiples of 2918

Related Least Common Multiples of 2925

Frequently Asked Questions on LCM of 2918 and 2925

1. What is the LCM of 2918 and 2925?

Answer: LCM of 2918 and 2925 is 8535150.

2. What are the Factors of 2918?

Answer: Factors of 2918 are 1, 2, 1459, 2918. There are 4 integers that are factors of 2918. The greatest factor of 2918 is 2918.

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 2918 and 2925?

Answer:

Least Common Multiple of 2918 and 2925 = 8535150

Step 1: Find the prime factorization of 2918

2918 = 2 x 1459

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 = 8535150 = 2 x 3 x 3 x 5 x 5 x 13 x 1459

Step 4: Therefore, the least common multiple of 2918 and 2925 is 8535150.