Least Common Multiple of 2456 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 2456 and 2462 the smallest integer that is 3023336 that is divisible by both numbers.

Least Common Multiple (LCM) of 2456 and 2462 is 3023336.

LCM(2456,2462) = 3023336

LCM of 2456 and 2462

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

LCM of:
and

Least Common Multiple of 2456 and 2462

LCM of 2456 and 2462 is 3023336

Least common multiple can be found by multiplying the highest exponent prime factors of 2456 and 2462. First we will calculate the prime factors of 2456 and 2462.

Prime Factorization of 2456


2 2456
2 1228
2 614
307 307
1

Prime factors of 2456 are 2,307. Prime factorization of 2456 in exponential form is:

2456 = 23×3071

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 2456 and 2462.

LCM(2456,2462) = 23×3071×12311
LCM(2456,2462) = 3023336

Factors of 2456

List of positive integer factors of 2456 that divides 2456 without a remainder.

1, 2, 4, 8, 307, 614, 1228, 2456

Factors of 2462

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

1, 2, 1231, 2462

Least Common Multiple of 2456 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 2456 and 2462, than apply into the LCM equation.

GCF(2456,2462) = 2
LCM(2456,2462) = ( 2456 × 2462) / 2
LCM(2456,2462) = 6046672 / 2
LCM(2456,2462) = 3023336

Properties of LCM 2456 and 2462

(i) The LCM of 2462 and 2456 is associative

LCM of 2456 and 2462 = LCM of 2462 and 2456

Related Least Common Multiples of 2456

Related Least Common Multiples of 2462

Frequently Asked Questions on LCM of 2456 and 2462

1. What is the LCM of 2456 and 2462?

Answer: LCM of 2456 and 2462 is 3023336.

2. What are the Factors of 2456?

Answer: Factors of 2456 are 1, 2, 4, 8, 307, 614, 1228, 2456. There are 8 integers that are factors of 2456. The greatest factor of 2456 is 2456.

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 2456 and 2462?

Answer:

Least Common Multiple of 2456 and 2462 = 3023336

Step 1: Find the prime factorization of 2456

2456 = 2 x 2 x 2 x 307

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 = 3023336 = 2 x 2 x 2 x 307 x 1231

Step 4: Therefore, the least common multiple of 2456 and 2462 is 3023336.