Least Common Multiple of 2546 and 2553

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 2553 the smallest integer that is 6499938 that is divisible by both numbers.

Least Common Multiple (LCM) of 2546 and 2553 is 6499938.

LCM(2546,2553) = 6499938

LCM of 2546 and 2553

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

LCM of:
and

Least Common Multiple of 2546 and 2553

LCM of 2546 and 2553 is 6499938

Least common multiple can be found by multiplying the highest exponent prime factors of 2546 and 2553. First we will calculate the prime factors of 2546 and 2553.

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 2553


3 2553
23 851
37 37
1

Prime factors of 2553 are 3, 23,37. Prime factorization of 2553 in exponential form is:

2553 = 31×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2546 and 2553.

LCM(2546,2553) = 21×31×191×231×371×671
LCM(2546,2553) = 6499938

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 2553

List of positive integer factors of 2553 that divides 2553 without a remainder.

1, 3, 23, 37, 69, 111, 851, 2553

Least Common Multiple of 2546 and 2553 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 2553, than apply into the LCM equation.

GCF(2546,2553) = 1
LCM(2546,2553) = ( 2546 × 2553) / 1
LCM(2546,2553) = 6499938 / 1
LCM(2546,2553) = 6499938

Properties of LCM 2546 and 2553

(i) The LCM of 2553 and 2546 is associative

LCM of 2546 and 2553 = LCM of 2553 and 2546

Related Least Common Multiples of 2546

Related Least Common Multiples of 2553

Frequently Asked Questions on LCM of 2546 and 2553

1. What is the LCM of 2546 and 2553?

Answer: LCM of 2546 and 2553 is 6499938.

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 2553?

Answer: Factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553. There are 8 integers that are factors of 2553. The greatest factor of 2553 is 2553.

4. How to Find the LCM of 2546 and 2553?

Answer:

Least Common Multiple of 2546 and 2553 = 6499938

Step 1: Find the prime factorization of 2546

2546 = 2 x 19 x 67

Step 2: Find the prime factorization of 2553

2553 = 3 x 23 x 37

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

LCM = 6499938 = 2 x 3 x 19 x 23 x 37 x 67

Step 4: Therefore, the least common multiple of 2546 and 2553 is 6499938.