Least Common Multiple of 2925 and 2927

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 2927 the smallest integer that is 8561475 that is divisible by both numbers.

Least Common Multiple (LCM) of 2925 and 2927 is 8561475.

LCM(2925,2927) = 8561475

LCM of 2925 and 2927

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

LCM of:
and

Least Common Multiple of 2925 and 2927

LCM of 2925 and 2927 is 8561475

Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2927. First we will calculate the prime factors of 2925 and 2927.

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 2927


2927 2927
1

Prime factors of 2927 are 2927. Prime factorization of 2927 in exponential form is:

2927 = 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2927.

LCM(2925,2927) = 32×52×131×29271
LCM(2925,2927) = 8561475

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 2927

List of positive integer factors of 2927 that divides 2927 without a remainder.

1, 2927

Least Common Multiple of 2925 and 2927 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 2927, than apply into the LCM equation.

GCF(2925,2927) = 1
LCM(2925,2927) = ( 2925 × 2927) / 1
LCM(2925,2927) = 8561475 / 1
LCM(2925,2927) = 8561475

Properties of LCM 2925 and 2927

(i) The LCM of 2927 and 2925 is associative

LCM of 2925 and 2927 = LCM of 2927 and 2925

Related Least Common Multiples of 2925

Related Least Common Multiples of 2927

Frequently Asked Questions on LCM of 2925 and 2927

1. What is the LCM of 2925 and 2927?

Answer: LCM of 2925 and 2927 is 8561475.

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 2927?

Answer: Factors of 2927 are 1, 2927. There are 2 integers that are factors of 2927. The greatest factor of 2927 is 2927.

4. How to Find the LCM of 2925 and 2927?

Answer:

Least Common Multiple of 2925 and 2927 = 8561475

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 2927

2927 = 2927

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

LCM = 8561475 = 3 x 3 x 5 x 5 x 13 x 2927

Step 4: Therefore, the least common multiple of 2925 and 2927 is 8561475.