Least Common Multiple of 2457 and 2463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2457 and 2463 the smallest integer that is 2017197 that is divisible by both numbers.

Least Common Multiple (LCM) of 2457 and 2463 is 2017197.

LCM(2457,2463) = 2017197

LCM of 2457 and 2463

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

LCM of:
and

Least Common Multiple of 2457 and 2463

LCM of 2457 and 2463 is 2017197

Least common multiple can be found by multiplying the highest exponent prime factors of 2457 and 2463. First we will calculate the prime factors of 2457 and 2463.

Prime Factorization of 2457


3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 2457 are 3, 7,13. Prime factorization of 2457 in exponential form is:

2457 = 33×71×131

Prime Factorization of 2463


3 2463
821 821
1

Prime factors of 2463 are 3,821. Prime factorization of 2463 in exponential form is:

2463 = 31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 2457 and 2463.

LCM(2457,2463) = 33×71×131×8211
LCM(2457,2463) = 2017197

Factors of 2457

List of positive integer factors of 2457 that divides 2457 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1, 3, 821, 2463

Least Common Multiple of 2457 and 2463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2457 and 2463, than apply into the LCM equation.

GCF(2457,2463) = 3
LCM(2457,2463) = ( 2457 × 2463) / 3
LCM(2457,2463) = 6051591 / 3
LCM(2457,2463) = 2017197

Properties of LCM 2457 and 2463

(i) The LCM of 2463 and 2457 is associative

LCM of 2457 and 2463 = LCM of 2463 and 2457

Related Least Common Multiples of 2457

Related Least Common Multiples of 2463

Frequently Asked Questions on LCM of 2457 and 2463

1. What is the LCM of 2457 and 2463?

Answer: LCM of 2457 and 2463 is 2017197.

2. What are the Factors of 2457?

Answer: Factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457. There are 16 integers that are factors of 2457. The greatest factor of 2457 is 2457.

3. What are the Factors of 2463?

Answer: Factors of 2463 are 1, 3, 821, 2463. There are 4 integers that are factors of 2463. The greatest factor of 2463 is 2463.

4. How to Find the LCM of 2457 and 2463?

Answer:

Least Common Multiple of 2457 and 2463 = 2017197

Step 1: Find the prime factorization of 2457

2457 = 3 x 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 2463

2463 = 3 x 821

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

LCM = 2017197 = 3 x 3 x 3 x 7 x 13 x 821

Step 4: Therefore, the least common multiple of 2457 and 2463 is 2017197.