Least Common Multiple of 2547 and 2553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2547 and 2553 the smallest integer that is 2167497 that is divisible by both numbers.

Least Common Multiple (LCM) of 2547 and 2553 is 2167497.

LCM(2547,2553) = 2167497

LCM of 2547 and 2553

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

LCM of:
and

Least Common Multiple of 2547 and 2553

LCM of 2547 and 2553 is 2167497

Least common multiple can be found by multiplying the highest exponent prime factors of 2547 and 2553. First we will calculate the prime factors of 2547 and 2553.

Prime Factorization of 2547


3 2547
3 849
283 283
1

Prime factors of 2547 are 3,283. Prime factorization of 2547 in exponential form is:

2547 = 32×2831

Prime Factorization of 2553


3 2553
23 851
37 37
1

Prime factors of 2553 are 3, 23,37. Prime factorization of 2553 in exponential form is:

2553 = 31×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2547 and 2553.

LCM(2547,2553) = 32×231×371×2831
LCM(2547,2553) = 2167497

Factors of 2547

List of positive integer factors of 2547 that divides 2547 without a remainder.

1, 3, 9, 283, 849, 2547

Factors of 2553

List of positive integer factors of 2553 that divides 2553 without a remainder.

1, 3, 23, 37, 69, 111, 851, 2553

Least Common Multiple of 2547 and 2553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2547 and 2553, than apply into the LCM equation.

GCF(2547,2553) = 3
LCM(2547,2553) = ( 2547 × 2553) / 3
LCM(2547,2553) = 6502491 / 3
LCM(2547,2553) = 2167497

Properties of LCM 2547 and 2553

(i) The LCM of 2553 and 2547 is associative

LCM of 2547 and 2553 = LCM of 2553 and 2547

Related Least Common Multiples of 2547

Related Least Common Multiples of 2553

Frequently Asked Questions on LCM of 2547 and 2553

1. What is the LCM of 2547 and 2553?

Answer: LCM of 2547 and 2553 is 2167497.

2. What are the Factors of 2547?

Answer: Factors of 2547 are 1, 3, 9, 283, 849, 2547. There are 6 integers that are factors of 2547. The greatest factor of 2547 is 2547.

3. What are the Factors of 2553?

Answer: Factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553. There are 8 integers that are factors of 2553. The greatest factor of 2553 is 2553.

4. How to Find the LCM of 2547 and 2553?

Answer:

Least Common Multiple of 2547 and 2553 = 2167497

Step 1: Find the prime factorization of 2547

2547 = 3 x 3 x 283

Step 2: Find the prime factorization of 2553

2553 = 3 x 23 x 37

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

LCM = 2167497 = 3 x 3 x 23 x 37 x 283

Step 4: Therefore, the least common multiple of 2547 and 2553 is 2167497.