Least Common Multiple of 2925 and 2932

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 2932 the smallest integer that is 8576100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2925 and 2932 is 8576100.

LCM(2925,2932) = 8576100

LCM of 2925 and 2932

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

LCM of:
and

Least Common Multiple of 2925 and 2932

LCM of 2925 and 2932 is 8576100

Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2932. First we will calculate the prime factors of 2925 and 2932.

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 2932


2 2932
2 1466
733 733
1

Prime factors of 2932 are 2,733. Prime factorization of 2932 in exponential form is:

2932 = 22×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2932.

LCM(2925,2932) = 22×32×52×131×7331
LCM(2925,2932) = 8576100

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 2932

List of positive integer factors of 2932 that divides 2932 without a remainder.

1, 2, 4, 733, 1466, 2932

Least Common Multiple of 2925 and 2932 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 2932, than apply into the LCM equation.

GCF(2925,2932) = 1
LCM(2925,2932) = ( 2925 × 2932) / 1
LCM(2925,2932) = 8576100 / 1
LCM(2925,2932) = 8576100

Properties of LCM 2925 and 2932

(i) The LCM of 2932 and 2925 is associative

LCM of 2925 and 2932 = LCM of 2932 and 2925

Related Least Common Multiples of 2925

Related Least Common Multiples of 2932

Frequently Asked Questions on LCM of 2925 and 2932

1. What is the LCM of 2925 and 2932?

Answer: LCM of 2925 and 2932 is 8576100.

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 2932?

Answer: Factors of 2932 are 1, 2, 4, 733, 1466, 2932. There are 6 integers that are factors of 2932. The greatest factor of 2932 is 2932.

4. How to Find the LCM of 2925 and 2932?

Answer:

Least Common Multiple of 2925 and 2932 = 8576100

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 2932

2932 = 2 x 2 x 733

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

LCM = 8576100 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 733

Step 4: Therefore, the least common multiple of 2925 and 2932 is 8576100.