Least Common Multiple of 2549 and 2550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2549 and 2550 the smallest integer that is 6499950 that is divisible by both numbers.

Least Common Multiple (LCM) of 2549 and 2550 is 6499950.

LCM(2549,2550) = 6499950

LCM of 2549 and 2550

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

LCM of:
and

Least Common Multiple of 2549 and 2550

LCM of 2549 and 2550 is 6499950

Least common multiple can be found by multiplying the highest exponent prime factors of 2549 and 2550. First we will calculate the prime factors of 2549 and 2550.

Prime Factorization of 2549


2549 2549
1

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 25491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2549 and 2550.

LCM(2549,2550) = 21×31×52×171×25491
LCM(2549,2550) = 6499950

Factors of 2549

List of positive integer factors of 2549 that divides 2549 without a remainder.

1, 2549

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

Least Common Multiple of 2549 and 2550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2549 and 2550, than apply into the LCM equation.

GCF(2549,2550) = 1
LCM(2549,2550) = ( 2549 × 2550) / 1
LCM(2549,2550) = 6499950 / 1
LCM(2549,2550) = 6499950

Properties of LCM 2549 and 2550

(i) The LCM of 2550 and 2549 is associative

LCM of 2549 and 2550 = LCM of 2550 and 2549

Related Least Common Multiples of 2549

Related Least Common Multiples of 2550

Frequently Asked Questions on LCM of 2549 and 2550

1. What is the LCM of 2549 and 2550?

Answer: LCM of 2549 and 2550 is 6499950.

2. What are the Factors of 2549?

Answer: Factors of 2549 are 1, 2549. There are 2 integers that are factors of 2549. The greatest factor of 2549 is 2549.

3. 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.

4. How to Find the LCM of 2549 and 2550?

Answer:

Least Common Multiple of 2549 and 2550 = 6499950

Step 1: Find the prime factorization of 2549

2549 = 2549

Step 2: Find the prime factorization of 2550

2550 = 2 x 3 x 5 x 5 x 17

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

LCM = 6499950 = 2 x 3 x 5 x 5 x 17 x 2549

Step 4: Therefore, the least common multiple of 2549 and 2550 is 6499950.