Least Common Multiple of 2452 and 2459

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 2459 the smallest integer that is 6029468 that is divisible by both numbers.

Least Common Multiple (LCM) of 2452 and 2459 is 6029468.

LCM(2452,2459) = 6029468

LCM of 2452 and 2459

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

LCM of:
and

Least Common Multiple of 2452 and 2459

LCM of 2452 and 2459 is 6029468

Least common multiple can be found by multiplying the highest exponent prime factors of 2452 and 2459. First we will calculate the prime factors of 2452 and 2459.

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 2459


2459 2459
1

Prime factors of 2459 are 2459. Prime factorization of 2459 in exponential form is:

2459 = 24591

Now multiplying the highest exponent prime factors to calculate the LCM of 2452 and 2459.

LCM(2452,2459) = 22×6131×24591
LCM(2452,2459) = 6029468

Factors of 2452

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

1, 2, 4, 613, 1226, 2452

Factors of 2459

List of positive integer factors of 2459 that divides 2459 without a remainder.

1, 2459

Least Common Multiple of 2452 and 2459 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 2459, than apply into the LCM equation.

GCF(2452,2459) = 1
LCM(2452,2459) = ( 2452 × 2459) / 1
LCM(2452,2459) = 6029468 / 1
LCM(2452,2459) = 6029468

Properties of LCM 2452 and 2459

(i) The LCM of 2459 and 2452 is associative

LCM of 2452 and 2459 = LCM of 2459 and 2452

Related Least Common Multiples of 2452

Related Least Common Multiples of 2459

Frequently Asked Questions on LCM of 2452 and 2459

1. What is the LCM of 2452 and 2459?

Answer: LCM of 2452 and 2459 is 6029468.

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 2459?

Answer: Factors of 2459 are 1, 2459. There are 2 integers that are factors of 2459. The greatest factor of 2459 is 2459.

4. How to Find the LCM of 2452 and 2459?

Answer:

Least Common Multiple of 2452 and 2459 = 6029468

Step 1: Find the prime factorization of 2452

2452 = 2 x 2 x 613

Step 2: Find the prime factorization of 2459

2459 = 2459

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

LCM = 6029468 = 2 x 2 x 613 x 2459

Step 4: Therefore, the least common multiple of 2452 and 2459 is 6029468.