Least Common Multiple of 6456 and 6460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6456 and 6460 the smallest integer that is 10426440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6456 and 6460 is 10426440.

LCM(6456,6460) = 10426440

LCM of 6456 and 6460

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

LCM of:
and

Least Common Multiple of 6456 and 6460

LCM of 6456 and 6460 is 10426440

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6460. First we will calculate the prime factors of 6456 and 6460.

Prime Factorization of 6456


2 6456
2 3228
2 1614
3 807
269 269
1

Prime factors of 6456 are 2, 3,269. Prime factorization of 6456 in exponential form is:

6456 = 23×31×2691

Prime Factorization of 6460


2 6460
2 3230
5 1615
17 323
19 19
1

Prime factors of 6460 are 2, 5, 17,19. Prime factorization of 6460 in exponential form is:

6460 = 22×51×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6460.

LCM(6456,6460) = 23×31×51×171×191×2691
LCM(6456,6460) = 10426440

Factors of 6456

List of positive integer factors of 6456 that divides 6456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456

Factors of 6460

List of positive integer factors of 6460 that divides 6460 without a remainder.

1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460

Least Common Multiple of 6456 and 6460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6456 and 6460, than apply into the LCM equation.

GCF(6456,6460) = 4
LCM(6456,6460) = ( 6456 × 6460) / 4
LCM(6456,6460) = 41705760 / 4
LCM(6456,6460) = 10426440

Properties of LCM 6456 and 6460

(i) The LCM of 6460 and 6456 is associative

LCM of 6456 and 6460 = LCM of 6460 and 6456

Related Least Common Multiples of 6456

Related Least Common Multiples of 6460

Frequently Asked Questions on LCM of 6456 and 6460

1. What is the LCM of 6456 and 6460?

Answer: LCM of 6456 and 6460 is 10426440.

2. What are the Factors of 6456?

Answer: Factors of 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456. There are 16 integers that are factors of 6456. The greatest factor of 6456 is 6456.

3. What are the Factors of 6460?

Answer: Factors of 6460 are 1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460. There are 24 integers that are factors of 6460. The greatest factor of 6460 is 6460.

4. How to Find the LCM of 6456 and 6460?

Answer:

Least Common Multiple of 6456 and 6460 = 10426440

Step 1: Find the prime factorization of 6456

6456 = 2 x 2 x 2 x 3 x 269

Step 2: Find the prime factorization of 6460

6460 = 2 x 2 x 5 x 17 x 19

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

LCM = 10426440 = 2 x 2 x 2 x 3 x 5 x 17 x 19 x 269

Step 4: Therefore, the least common multiple of 6456 and 6460 is 10426440.