Least Common Multiple of 2550 and 2558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2550 and 2558 the smallest integer that is 3261450 that is divisible by both numbers.

Least Common Multiple (LCM) of 2550 and 2558 is 3261450.

LCM(2550,2558) = 3261450

LCM of 2550 and 2558

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

LCM of:
and

Least Common Multiple of 2550 and 2558

LCM of 2550 and 2558 is 3261450

Least common multiple can be found by multiplying the highest exponent prime factors of 2550 and 2558. First we will calculate the prime factors of 2550 and 2558.

Prime Factorization of 2550


2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 2550 are 2, 3, 5,17. Prime factorization of 2550 in exponential form is:

2550 = 21×31×52×171

Prime Factorization of 2558


2 2558
1279 1279
1

Prime factors of 2558 are 2,1279. Prime factorization of 2558 in exponential form is:

2558 = 21×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 2550 and 2558.

LCM(2550,2558) = 21×31×52×171×12791
LCM(2550,2558) = 3261450

Factors of 2550

List of positive integer factors of 2550 that divides 2550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550

Factors of 2558

List of positive integer factors of 2558 that divides 2558 without a remainder.

1, 2, 1279, 2558

Least Common Multiple of 2550 and 2558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2550 and 2558, than apply into the LCM equation.

GCF(2550,2558) = 2
LCM(2550,2558) = ( 2550 × 2558) / 2
LCM(2550,2558) = 6522900 / 2
LCM(2550,2558) = 3261450

Properties of LCM 2550 and 2558

(i) The LCM of 2558 and 2550 is associative

LCM of 2550 and 2558 = LCM of 2558 and 2550

Related Least Common Multiples of 2550

Related Least Common Multiples of 2558

Frequently Asked Questions on LCM of 2550 and 2558

1. What is the LCM of 2550 and 2558?

Answer: LCM of 2550 and 2558 is 3261450.

2. What are the Factors of 2550?

Answer: Factors of 2550 are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550. There are 24 integers that are factors of 2550. The greatest factor of 2550 is 2550.

3. What are the Factors of 2558?

Answer: Factors of 2558 are 1, 2, 1279, 2558. There are 4 integers that are factors of 2558. The greatest factor of 2558 is 2558.

4. How to Find the LCM of 2550 and 2558?

Answer:

Least Common Multiple of 2550 and 2558 = 3261450

Step 1: Find the prime factorization of 2550

2550 = 2 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 2558

2558 = 2 x 1279

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

LCM = 3261450 = 2 x 3 x 5 x 5 x 17 x 1279

Step 4: Therefore, the least common multiple of 2550 and 2558 is 3261450.