Least Common Multiple of 2925 and 2928

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 2928 the smallest integer that is 2854800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2925 and 2928 is 2854800.

LCM(2925,2928) = 2854800

LCM of 2925 and 2928

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

LCM of:
and

Least Common Multiple of 2925 and 2928

LCM of 2925 and 2928 is 2854800

Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2928. First we will calculate the prime factors of 2925 and 2928.

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 2928


2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 2928 are 2, 3,61. Prime factorization of 2928 in exponential form is:

2928 = 24×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2928.

LCM(2925,2928) = 24×32×52×131×611
LCM(2925,2928) = 2854800

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 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928

Least Common Multiple of 2925 and 2928 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 2928, than apply into the LCM equation.

GCF(2925,2928) = 3
LCM(2925,2928) = ( 2925 × 2928) / 3
LCM(2925,2928) = 8564400 / 3
LCM(2925,2928) = 2854800

Properties of LCM 2925 and 2928

(i) The LCM of 2928 and 2925 is associative

LCM of 2925 and 2928 = LCM of 2928 and 2925

Related Least Common Multiples of 2925

Related Least Common Multiples of 2928

Frequently Asked Questions on LCM of 2925 and 2928

1. What is the LCM of 2925 and 2928?

Answer: LCM of 2925 and 2928 is 2854800.

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 2928?

Answer: Factors of 2928 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928. There are 20 integers that are factors of 2928. The greatest factor of 2928 is 2928.

4. How to Find the LCM of 2925 and 2928?

Answer:

Least Common Multiple of 2925 and 2928 = 2854800

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 2928

2928 = 2 x 2 x 2 x 2 x 3 x 61

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

LCM = 2854800 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 61

Step 4: Therefore, the least common multiple of 2925 and 2928 is 2854800.