Least Common Multiple of 2550 and 2557

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 2557 the smallest integer that is 6520350 that is divisible by both numbers.

Least Common Multiple (LCM) of 2550 and 2557 is 6520350.

LCM(2550,2557) = 6520350

LCM of 2550 and 2557

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

LCM of:
and

Least Common Multiple of 2550 and 2557

LCM of 2550 and 2557 is 6520350

Least common multiple can be found by multiplying the highest exponent prime factors of 2550 and 2557. First we will calculate the prime factors of 2550 and 2557.

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 2557


2557 2557
1

Prime factors of 2557 are 2557. Prime factorization of 2557 in exponential form is:

2557 = 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 2550 and 2557.

LCM(2550,2557) = 21×31×52×171×25571
LCM(2550,2557) = 6520350

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 2557

List of positive integer factors of 2557 that divides 2557 without a remainder.

1, 2557

Least Common Multiple of 2550 and 2557 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 2557, than apply into the LCM equation.

GCF(2550,2557) = 1
LCM(2550,2557) = ( 2550 × 2557) / 1
LCM(2550,2557) = 6520350 / 1
LCM(2550,2557) = 6520350

Properties of LCM 2550 and 2557

(i) The LCM of 2557 and 2550 is associative

LCM of 2550 and 2557 = LCM of 2557 and 2550

Related Least Common Multiples of 2550

Related Least Common Multiples of 2557

Frequently Asked Questions on LCM of 2550 and 2557

1. What is the LCM of 2550 and 2557?

Answer: LCM of 2550 and 2557 is 6520350.

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 2557?

Answer: Factors of 2557 are 1, 2557. There are 2 integers that are factors of 2557. The greatest factor of 2557 is 2557.

4. How to Find the LCM of 2550 and 2557?

Answer:

Least Common Multiple of 2550 and 2557 = 6520350

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 2557

2557 = 2557

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

LCM = 6520350 = 2 x 3 x 5 x 5 x 17 x 2557

Step 4: Therefore, the least common multiple of 2550 and 2557 is 6520350.