Least Common Multiple of 2456 and 2463

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 2463 the smallest integer that is 6049128 that is divisible by both numbers.

Least Common Multiple (LCM) of 2456 and 2463 is 6049128.

LCM(2456,2463) = 6049128

LCM of 2456 and 2463

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

LCM of:
and

Least Common Multiple of 2456 and 2463

LCM of 2456 and 2463 is 6049128

Least common multiple can be found by multiplying the highest exponent prime factors of 2456 and 2463. First we will calculate the prime factors of 2456 and 2463.

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 2463


3 2463
821 821
1

Prime factors of 2463 are 3,821. Prime factorization of 2463 in exponential form is:

2463 = 31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 2456 and 2463.

LCM(2456,2463) = 23×31×3071×8211
LCM(2456,2463) = 6049128

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 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1, 3, 821, 2463

Least Common Multiple of 2456 and 2463 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 2463, than apply into the LCM equation.

GCF(2456,2463) = 1
LCM(2456,2463) = ( 2456 × 2463) / 1
LCM(2456,2463) = 6049128 / 1
LCM(2456,2463) = 6049128

Properties of LCM 2456 and 2463

(i) The LCM of 2463 and 2456 is associative

LCM of 2456 and 2463 = LCM of 2463 and 2456

Related Least Common Multiples of 2456

Related Least Common Multiples of 2463

Frequently Asked Questions on LCM of 2456 and 2463

1. What is the LCM of 2456 and 2463?

Answer: LCM of 2456 and 2463 is 6049128.

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 2463?

Answer: Factors of 2463 are 1, 3, 821, 2463. There are 4 integers that are factors of 2463. The greatest factor of 2463 is 2463.

4. How to Find the LCM of 2456 and 2463?

Answer:

Least Common Multiple of 2456 and 2463 = 6049128

Step 1: Find the prime factorization of 2456

2456 = 2 x 2 x 2 x 307

Step 2: Find the prime factorization of 2463

2463 = 3 x 821

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

LCM = 6049128 = 2 x 2 x 2 x 3 x 307 x 821

Step 4: Therefore, the least common multiple of 2456 and 2463 is 6049128.