Least Common Multiple of 2545 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 2545 and 2553 the smallest integer that is 6497385 that is divisible by both numbers.

Least Common Multiple (LCM) of 2545 and 2553 is 6497385.

LCM(2545,2553) = 6497385

LCM of 2545 and 2553

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

LCM of:
and

Least Common Multiple of 2545 and 2553

LCM of 2545 and 2553 is 6497385

Least common multiple can be found by multiplying the highest exponent prime factors of 2545 and 2553. First we will calculate the prime factors of 2545 and 2553.

Prime Factorization of 2545


5 2545
509 509
1

Prime factors of 2545 are 5,509. Prime factorization of 2545 in exponential form is:

2545 = 51×5091

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 2545 and 2553.

LCM(2545,2553) = 31×51×231×371×5091
LCM(2545,2553) = 6497385

Factors of 2545

List of positive integer factors of 2545 that divides 2545 without a remainder.

1, 5, 509, 2545

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 2545 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 2545 and 2553, than apply into the LCM equation.

GCF(2545,2553) = 1
LCM(2545,2553) = ( 2545 × 2553) / 1
LCM(2545,2553) = 6497385 / 1
LCM(2545,2553) = 6497385

Properties of LCM 2545 and 2553

(i) The LCM of 2553 and 2545 is associative

LCM of 2545 and 2553 = LCM of 2553 and 2545

Related Least Common Multiples of 2545

Related Least Common Multiples of 2553

Frequently Asked Questions on LCM of 2545 and 2553

1. What is the LCM of 2545 and 2553?

Answer: LCM of 2545 and 2553 is 6497385.

2. What are the Factors of 2545?

Answer: Factors of 2545 are 1, 5, 509, 2545. There are 4 integers that are factors of 2545. The greatest factor of 2545 is 2545.

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 2545 and 2553?

Answer:

Least Common Multiple of 2545 and 2553 = 6497385

Step 1: Find the prime factorization of 2545

2545 = 5 x 509

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 = 6497385 = 3 x 5 x 23 x 37 x 509

Step 4: Therefore, the least common multiple of 2545 and 2553 is 6497385.