Least Common Multiple of 2550 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 2550 and 2554 the smallest integer that is 3256350 that is divisible by both numbers.

Least Common Multiple (LCM) of 2550 and 2554 is 3256350.

LCM(2550,2554) = 3256350

LCM of 2550 and 2554

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

LCM of:
and

Least Common Multiple of 2550 and 2554

LCM of 2550 and 2554 is 3256350

Least common multiple can be found by multiplying the highest exponent prime factors of 2550 and 2554. First we will calculate the prime factors of 2550 and 2554.

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 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 2550 and 2554.

LCM(2550,2554) = 21×31×52×171×12771
LCM(2550,2554) = 3256350

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 2554

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

1, 2, 1277, 2554

Least Common Multiple of 2550 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 2550 and 2554, than apply into the LCM equation.

GCF(2550,2554) = 2
LCM(2550,2554) = ( 2550 × 2554) / 2
LCM(2550,2554) = 6512700 / 2
LCM(2550,2554) = 3256350

Properties of LCM 2550 and 2554

(i) The LCM of 2554 and 2550 is associative

LCM of 2550 and 2554 = LCM of 2554 and 2550

Related Least Common Multiples of 2550

Related Least Common Multiples of 2554

Frequently Asked Questions on LCM of 2550 and 2554

1. What is the LCM of 2550 and 2554?

Answer: LCM of 2550 and 2554 is 3256350.

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 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 2550 and 2554?

Answer:

Least Common Multiple of 2550 and 2554 = 3256350

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 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 = 3256350 = 2 x 3 x 5 x 5 x 17 x 1277

Step 4: Therefore, the least common multiple of 2550 and 2554 is 3256350.