Least Common Multiple of 2457 and 2465

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 2465 the smallest integer that is 6056505 that is divisible by both numbers.

Least Common Multiple (LCM) of 2457 and 2465 is 6056505.

LCM(2457,2465) = 6056505

LCM of 2457 and 2465

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

LCM of:
and

Least Common Multiple of 2457 and 2465

LCM of 2457 and 2465 is 6056505

Least common multiple can be found by multiplying the highest exponent prime factors of 2457 and 2465. First we will calculate the prime factors of 2457 and 2465.

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 2465


5 2465
17 493
29 29
1

Prime factors of 2465 are 5, 17,29. Prime factorization of 2465 in exponential form is:

2465 = 51×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2457 and 2465.

LCM(2457,2465) = 33×51×71×131×171×291
LCM(2457,2465) = 6056505

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 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1, 5, 17, 29, 85, 145, 493, 2465

Least Common Multiple of 2457 and 2465 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 2465, than apply into the LCM equation.

GCF(2457,2465) = 1
LCM(2457,2465) = ( 2457 × 2465) / 1
LCM(2457,2465) = 6056505 / 1
LCM(2457,2465) = 6056505

Properties of LCM 2457 and 2465

(i) The LCM of 2465 and 2457 is associative

LCM of 2457 and 2465 = LCM of 2465 and 2457

Related Least Common Multiples of 2457

Related Least Common Multiples of 2465

Frequently Asked Questions on LCM of 2457 and 2465

1. What is the LCM of 2457 and 2465?

Answer: LCM of 2457 and 2465 is 6056505.

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 2465?

Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.

4. How to Find the LCM of 2457 and 2465?

Answer:

Least Common Multiple of 2457 and 2465 = 6056505

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 2465

2465 = 5 x 17 x 29

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

LCM = 6056505 = 3 x 3 x 3 x 5 x 7 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 2457 and 2465 is 6056505.