Least Common Multiple of 2553 and 2554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2553 and 2554 the smallest integer that is 6520362 that is divisible by both numbers.

Least Common Multiple (LCM) of 2553 and 2554 is 6520362.

LCM(2553,2554) = 6520362

LCM of 2553 and 2554

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

LCM of:
and

Least Common Multiple of 2553 and 2554

LCM of 2553 and 2554 is 6520362

Least common multiple can be found by multiplying the highest exponent prime factors of 2553 and 2554. First we will calculate the prime factors of 2553 and 2554.

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

Prime Factorization of 2554


2 2554
1277 1277
1

Prime factors of 2554 are 2,1277. Prime factorization of 2554 in exponential form is:

2554 = 21×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 2553 and 2554.

LCM(2553,2554) = 21×31×231×371×12771
LCM(2553,2554) = 6520362

Factors of 2553

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

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

Factors of 2554

List of positive integer factors of 2554 that divides 2554 without a remainder.

1, 2, 1277, 2554

Least Common Multiple of 2553 and 2554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2553 and 2554, than apply into the LCM equation.

GCF(2553,2554) = 1
LCM(2553,2554) = ( 2553 × 2554) / 1
LCM(2553,2554) = 6520362 / 1
LCM(2553,2554) = 6520362

Properties of LCM 2553 and 2554

(i) The LCM of 2554 and 2553 is associative

LCM of 2553 and 2554 = LCM of 2554 and 2553

Related Least Common Multiples of 2553

Related Least Common Multiples of 2554

Frequently Asked Questions on LCM of 2553 and 2554

1. What is the LCM of 2553 and 2554?

Answer: LCM of 2553 and 2554 is 6520362.

2. 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.

3. What are the Factors of 2554?

Answer: Factors of 2554 are 1, 2, 1277, 2554. There are 4 integers that are factors of 2554. The greatest factor of 2554 is 2554.

4. How to Find the LCM of 2553 and 2554?

Answer:

Least Common Multiple of 2553 and 2554 = 6520362

Step 1: Find the prime factorization of 2553

2553 = 3 x 23 x 37

Step 2: Find the prime factorization of 2554

2554 = 2 x 1277

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

LCM = 6520362 = 2 x 3 x 23 x 37 x 1277

Step 4: Therefore, the least common multiple of 2553 and 2554 is 6520362.