Least Common Multiple of 4256 and 4260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4256 and 4260 the smallest integer that is 4532640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4256 and 4260 is 4532640.

LCM(4256,4260) = 4532640

LCM of 4256 and 4260

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

LCM of:
and

Least Common Multiple of 4256 and 4260

LCM of 4256 and 4260 is 4532640

Least common multiple can be found by multiplying the highest exponent prime factors of 4256 and 4260. First we will calculate the prime factors of 4256 and 4260.

Prime Factorization of 4256


2 4256
2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 4256 are 2, 7,19. Prime factorization of 4256 in exponential form is:

4256 = 25×71×191

Prime Factorization of 4260


2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 4260 are 2, 3, 5,71. Prime factorization of 4260 in exponential form is:

4260 = 22×31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4256 and 4260.

LCM(4256,4260) = 25×31×51×71×191×711
LCM(4256,4260) = 4532640

Factors of 4256

List of positive integer factors of 4256 that divides 4256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260

Least Common Multiple of 4256 and 4260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4256 and 4260, than apply into the LCM equation.

GCF(4256,4260) = 4
LCM(4256,4260) = ( 4256 × 4260) / 4
LCM(4256,4260) = 18130560 / 4
LCM(4256,4260) = 4532640

Properties of LCM 4256 and 4260

(i) The LCM of 4260 and 4256 is associative

LCM of 4256 and 4260 = LCM of 4260 and 4256

Related Least Common Multiples of 4256

Related Least Common Multiples of 4260

Frequently Asked Questions on LCM of 4256 and 4260

1. What is the LCM of 4256 and 4260?

Answer: LCM of 4256 and 4260 is 4532640.

2. What are the Factors of 4256?

Answer: Factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256. There are 24 integers that are factors of 4256. The greatest factor of 4256 is 4256.

3. What are the Factors of 4260?

Answer: Factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260. There are 24 integers that are factors of 4260. The greatest factor of 4260 is 4260.

4. How to Find the LCM of 4256 and 4260?

Answer:

Least Common Multiple of 4256 and 4260 = 4532640

Step 1: Find the prime factorization of 4256

4256 = 2 x 2 x 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 4260

4260 = 2 x 2 x 3 x 5 x 71

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

LCM = 4532640 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 71

Step 4: Therefore, the least common multiple of 4256 and 4260 is 4532640.