Least Common Multiple of 2452 and 2458

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 2458 the smallest integer that is 3013508 that is divisible by both numbers.

Least Common Multiple (LCM) of 2452 and 2458 is 3013508.

LCM(2452,2458) = 3013508

LCM of 2452 and 2458

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

LCM of:
and

Least Common Multiple of 2452 and 2458

LCM of 2452 and 2458 is 3013508

Least common multiple can be found by multiplying the highest exponent prime factors of 2452 and 2458. First we will calculate the prime factors of 2452 and 2458.

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 2458


2 2458
1229 1229
1

Prime factors of 2458 are 2,1229. Prime factorization of 2458 in exponential form is:

2458 = 21×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 2452 and 2458.

LCM(2452,2458) = 22×6131×12291
LCM(2452,2458) = 3013508

Factors of 2452

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

1, 2, 4, 613, 1226, 2452

Factors of 2458

List of positive integer factors of 2458 that divides 2458 without a remainder.

1, 2, 1229, 2458

Least Common Multiple of 2452 and 2458 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 2458, than apply into the LCM equation.

GCF(2452,2458) = 2
LCM(2452,2458) = ( 2452 × 2458) / 2
LCM(2452,2458) = 6027016 / 2
LCM(2452,2458) = 3013508

Properties of LCM 2452 and 2458

(i) The LCM of 2458 and 2452 is associative

LCM of 2452 and 2458 = LCM of 2458 and 2452

Related Least Common Multiples of 2452

Related Least Common Multiples of 2458

Frequently Asked Questions on LCM of 2452 and 2458

1. What is the LCM of 2452 and 2458?

Answer: LCM of 2452 and 2458 is 3013508.

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 2458?

Answer: Factors of 2458 are 1, 2, 1229, 2458. There are 4 integers that are factors of 2458. The greatest factor of 2458 is 2458.

4. How to Find the LCM of 2452 and 2458?

Answer:

Least Common Multiple of 2452 and 2458 = 3013508

Step 1: Find the prime factorization of 2452

2452 = 2 x 2 x 613

Step 2: Find the prime factorization of 2458

2458 = 2 x 1229

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

LCM = 3013508 = 2 x 2 x 613 x 1229

Step 4: Therefore, the least common multiple of 2452 and 2458 is 3013508.