Least Common Multiple of 2456 and 2464

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 2464 the smallest integer that is 756448 that is divisible by both numbers.

Least Common Multiple (LCM) of 2456 and 2464 is 756448.

LCM(2456,2464) = 756448

LCM of 2456 and 2464

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

LCM of:
and

Least Common Multiple of 2456 and 2464

LCM of 2456 and 2464 is 756448

Least common multiple can be found by multiplying the highest exponent prime factors of 2456 and 2464. First we will calculate the prime factors of 2456 and 2464.

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 2464


2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 2464 are 2, 7,11. Prime factorization of 2464 in exponential form is:

2464 = 25×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2456 and 2464.

LCM(2456,2464) = 25×71×111×3071
LCM(2456,2464) = 756448

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 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

Least Common Multiple of 2456 and 2464 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 2464, than apply into the LCM equation.

GCF(2456,2464) = 8
LCM(2456,2464) = ( 2456 × 2464) / 8
LCM(2456,2464) = 6051584 / 8
LCM(2456,2464) = 756448

Properties of LCM 2456 and 2464

(i) The LCM of 2464 and 2456 is associative

LCM of 2456 and 2464 = LCM of 2464 and 2456

Related Least Common Multiples of 2456

Related Least Common Multiples of 2464

Frequently Asked Questions on LCM of 2456 and 2464

1. What is the LCM of 2456 and 2464?

Answer: LCM of 2456 and 2464 is 756448.

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 2464?

Answer: Factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464. There are 24 integers that are factors of 2464. The greatest factor of 2464 is 2464.

4. How to Find the LCM of 2456 and 2464?

Answer:

Least Common Multiple of 2456 and 2464 = 756448

Step 1: Find the prime factorization of 2456

2456 = 2 x 2 x 2 x 307

Step 2: Find the prime factorization of 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 x 11

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

LCM = 756448 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 307

Step 4: Therefore, the least common multiple of 2456 and 2464 is 756448.