Least Common Multiple of 2456 and 2460

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 2460 the smallest integer that is 1510440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2456 and 2460 is 1510440.

LCM(2456,2460) = 1510440

LCM of 2456 and 2460

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

LCM of:
and

Least Common Multiple of 2456 and 2460

LCM of 2456 and 2460 is 1510440

Least common multiple can be found by multiplying the highest exponent prime factors of 2456 and 2460. First we will calculate the prime factors of 2456 and 2460.

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 2460


2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 2460 are 2, 3, 5,41. Prime factorization of 2460 in exponential form is:

2460 = 22×31×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2456 and 2460.

LCM(2456,2460) = 23×31×51×411×3071
LCM(2456,2460) = 1510440

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 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460

Least Common Multiple of 2456 and 2460 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 2460, than apply into the LCM equation.

GCF(2456,2460) = 4
LCM(2456,2460) = ( 2456 × 2460) / 4
LCM(2456,2460) = 6041760 / 4
LCM(2456,2460) = 1510440

Properties of LCM 2456 and 2460

(i) The LCM of 2460 and 2456 is associative

LCM of 2456 and 2460 = LCM of 2460 and 2456

Related Least Common Multiples of 2456

Related Least Common Multiples of 2460

Frequently Asked Questions on LCM of 2456 and 2460

1. What is the LCM of 2456 and 2460?

Answer: LCM of 2456 and 2460 is 1510440.

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 2460?

Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.

4. How to Find the LCM of 2456 and 2460?

Answer:

Least Common Multiple of 2456 and 2460 = 1510440

Step 1: Find the prime factorization of 2456

2456 = 2 x 2 x 2 x 307

Step 2: Find the prime factorization of 2460

2460 = 2 x 2 x 3 x 5 x 41

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

LCM = 1510440 = 2 x 2 x 2 x 3 x 5 x 41 x 307

Step 4: Therefore, the least common multiple of 2456 and 2460 is 1510440.