Least Common Multiple of 2550 and 2555

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 2555 the smallest integer that is 1303050 that is divisible by both numbers.

Least Common Multiple (LCM) of 2550 and 2555 is 1303050.

LCM(2550,2555) = 1303050

LCM of 2550 and 2555

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

LCM of:
and

Least Common Multiple of 2550 and 2555

LCM of 2550 and 2555 is 1303050

Least common multiple can be found by multiplying the highest exponent prime factors of 2550 and 2555. First we will calculate the prime factors of 2550 and 2555.

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 2555


5 2555
7 511
73 73
1

Prime factors of 2555 are 5, 7,73. Prime factorization of 2555 in exponential form is:

2555 = 51×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2550 and 2555.

LCM(2550,2555) = 21×31×52×71×171×731
LCM(2550,2555) = 1303050

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 2555

List of positive integer factors of 2555 that divides 2555 without a remainder.

1, 5, 7, 35, 73, 365, 511, 2555

Least Common Multiple of 2550 and 2555 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 2555, than apply into the LCM equation.

GCF(2550,2555) = 5
LCM(2550,2555) = ( 2550 × 2555) / 5
LCM(2550,2555) = 6515250 / 5
LCM(2550,2555) = 1303050

Properties of LCM 2550 and 2555

(i) The LCM of 2555 and 2550 is associative

LCM of 2550 and 2555 = LCM of 2555 and 2550

Related Least Common Multiples of 2550

Related Least Common Multiples of 2555

Frequently Asked Questions on LCM of 2550 and 2555

1. What is the LCM of 2550 and 2555?

Answer: LCM of 2550 and 2555 is 1303050.

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 2555?

Answer: Factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555. There are 8 integers that are factors of 2555. The greatest factor of 2555 is 2555.

4. How to Find the LCM of 2550 and 2555?

Answer:

Least Common Multiple of 2550 and 2555 = 1303050

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 2555

2555 = 5 x 7 x 73

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

LCM = 1303050 = 2 x 3 x 5 x 5 x 7 x 17 x 73

Step 4: Therefore, the least common multiple of 2550 and 2555 is 1303050.