Least Common Multiple of 2458 and 2462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2458 and 2462 the smallest integer that is 3025798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2458 and 2462 is 3025798.

LCM(2458,2462) = 3025798

LCM of 2458 and 2462

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

LCM of:
and

Least Common Multiple of 2458 and 2462

LCM of 2458 and 2462 is 3025798

Least common multiple can be found by multiplying the highest exponent prime factors of 2458 and 2462. First we will calculate the prime factors of 2458 and 2462.

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

Prime Factorization of 2462


2 2462
1231 1231
1

Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:

2462 = 21×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 2458 and 2462.

LCM(2458,2462) = 21×12291×12311
LCM(2458,2462) = 3025798

Factors of 2458

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

1, 2, 1229, 2458

Factors of 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1, 2, 1231, 2462

Least Common Multiple of 2458 and 2462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2458 and 2462, than apply into the LCM equation.

GCF(2458,2462) = 2
LCM(2458,2462) = ( 2458 × 2462) / 2
LCM(2458,2462) = 6051596 / 2
LCM(2458,2462) = 3025798

Properties of LCM 2458 and 2462

(i) The LCM of 2462 and 2458 is associative

LCM of 2458 and 2462 = LCM of 2462 and 2458

Related Least Common Multiples of 2458

Related Least Common Multiples of 2462

Frequently Asked Questions on LCM of 2458 and 2462

1. What is the LCM of 2458 and 2462?

Answer: LCM of 2458 and 2462 is 3025798.

2. 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.

3. What are the Factors of 2462?

Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.

4. How to Find the LCM of 2458 and 2462?

Answer:

Least Common Multiple of 2458 and 2462 = 3025798

Step 1: Find the prime factorization of 2458

2458 = 2 x 1229

Step 2: Find the prime factorization of 2462

2462 = 2 x 1231

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

LCM = 3025798 = 2 x 1229 x 1231

Step 4: Therefore, the least common multiple of 2458 and 2462 is 3025798.