Least Common Multiple of 2551 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 2551 and 2553 the smallest integer that is 6512703 that is divisible by both numbers.

Least Common Multiple (LCM) of 2551 and 2553 is 6512703.

LCM(2551,2553) = 6512703

LCM of 2551 and 2553

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

LCM of:
and

Least Common Multiple of 2551 and 2553

LCM of 2551 and 2553 is 6512703

Least common multiple can be found by multiplying the highest exponent prime factors of 2551 and 2553. First we will calculate the prime factors of 2551 and 2553.

Prime Factorization of 2551


2551 2551
1

Prime factors of 2551 are 2551. Prime factorization of 2551 in exponential form is:

2551 = 25511

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 2551 and 2553.

LCM(2551,2553) = 31×231×371×25511
LCM(2551,2553) = 6512703

Factors of 2551

List of positive integer factors of 2551 that divides 2551 without a remainder.

1, 2551

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 2551 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 2551 and 2553, than apply into the LCM equation.

GCF(2551,2553) = 1
LCM(2551,2553) = ( 2551 × 2553) / 1
LCM(2551,2553) = 6512703 / 1
LCM(2551,2553) = 6512703

Properties of LCM 2551 and 2553

(i) The LCM of 2553 and 2551 is associative

LCM of 2551 and 2553 = LCM of 2553 and 2551

Related Least Common Multiples of 2551

Related Least Common Multiples of 2553

Frequently Asked Questions on LCM of 2551 and 2553

1. What is the LCM of 2551 and 2553?

Answer: LCM of 2551 and 2553 is 6512703.

2. What are the Factors of 2551?

Answer: Factors of 2551 are 1, 2551. There are 2 integers that are factors of 2551. The greatest factor of 2551 is 2551.

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 2551 and 2553?

Answer:

Least Common Multiple of 2551 and 2553 = 6512703

Step 1: Find the prime factorization of 2551

2551 = 2551

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 = 6512703 = 3 x 23 x 37 x 2551

Step 4: Therefore, the least common multiple of 2551 and 2553 is 6512703.