Least Common Multiple of 2546 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 2546 and 2550 the smallest integer that is 3246150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2546 and 2550 is 3246150.

LCM(2546,2550) = 3246150

LCM of 2546 and 2550

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

LCM of:
and

Least Common Multiple of 2546 and 2550

LCM of 2546 and 2550 is 3246150

Least common multiple can be found by multiplying the highest exponent prime factors of 2546 and 2550. First we will calculate the prime factors of 2546 and 2550.

Prime Factorization of 2546


2 2546
19 1273
67 67
1

Prime factors of 2546 are 2, 19,67. Prime factorization of 2546 in exponential form is:

2546 = 21×191×671

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 2546 and 2550.

LCM(2546,2550) = 21×31×52×171×191×671
LCM(2546,2550) = 3246150

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1, 2, 19, 38, 67, 134, 1273, 2546

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 2546 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 2546 and 2550, than apply into the LCM equation.

GCF(2546,2550) = 2
LCM(2546,2550) = ( 2546 × 2550) / 2
LCM(2546,2550) = 6492300 / 2
LCM(2546,2550) = 3246150

Properties of LCM 2546 and 2550

(i) The LCM of 2550 and 2546 is associative

LCM of 2546 and 2550 = LCM of 2550 and 2546

Related Least Common Multiples of 2546

Related Least Common Multiples of 2550

Frequently Asked Questions on LCM of 2546 and 2550

1. What is the LCM of 2546 and 2550?

Answer: LCM of 2546 and 2550 is 3246150.

2. What are the Factors of 2546?

Answer: Factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546. There are 8 integers that are factors of 2546. The greatest factor of 2546 is 2546.

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 2546 and 2550?

Answer:

Least Common Multiple of 2546 and 2550 = 3246150

Step 1: Find the prime factorization of 2546

2546 = 2 x 19 x 67

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 = 3246150 = 2 x 3 x 5 x 5 x 17 x 19 x 67

Step 4: Therefore, the least common multiple of 2546 and 2550 is 3246150.