Least Common Multiple of 2452 and 2457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2452 and 2457 the smallest integer that is 6024564 that is divisible by both numbers.

Least Common Multiple (LCM) of 2452 and 2457 is 6024564.

LCM(2452,2457) = 6024564

LCM of 2452 and 2457

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

LCM of:
and

Least Common Multiple of 2452 and 2457

LCM of 2452 and 2457 is 6024564

Least common multiple can be found by multiplying the highest exponent prime factors of 2452 and 2457. First we will calculate the prime factors of 2452 and 2457.

Prime Factorization of 2452


2 2452
2 1226
613 613
1

Prime factors of 2452 are 2,613. Prime factorization of 2452 in exponential form is:

2452 = 22×6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2452 and 2457.

LCM(2452,2457) = 22×33×71×131×6131
LCM(2452,2457) = 6024564

Factors of 2452

List of positive integer factors of 2452 that divides 2452 without a remainder.

1, 2, 4, 613, 1226, 2452

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

Least Common Multiple of 2452 and 2457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2452 and 2457, than apply into the LCM equation.

GCF(2452,2457) = 1
LCM(2452,2457) = ( 2452 × 2457) / 1
LCM(2452,2457) = 6024564 / 1
LCM(2452,2457) = 6024564

Properties of LCM 2452 and 2457

(i) The LCM of 2457 and 2452 is associative

LCM of 2452 and 2457 = LCM of 2457 and 2452

Related Least Common Multiples of 2452

Related Least Common Multiples of 2457

Frequently Asked Questions on LCM of 2452 and 2457

1. What is the LCM of 2452 and 2457?

Answer: LCM of 2452 and 2457 is 6024564.

2. What are the Factors of 2452?

Answer: Factors of 2452 are 1, 2, 4, 613, 1226, 2452. There are 6 integers that are factors of 2452. The greatest factor of 2452 is 2452.

3. 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.

4. How to Find the LCM of 2452 and 2457?

Answer:

Least Common Multiple of 2452 and 2457 = 6024564

Step 1: Find the prime factorization of 2452

2452 = 2 x 2 x 613

Step 2: Find the prime factorization of 2457

2457 = 3 x 3 x 3 x 7 x 13

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

LCM = 6024564 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 613

Step 4: Therefore, the least common multiple of 2452 and 2457 is 6024564.