Least Common Multiple of 4256 and 4264

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 4264 the smallest integer that is 2268448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4256 and 4264 is 2268448.

LCM(4256,4264) = 2268448

LCM of 4256 and 4264

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

LCM of:
and

Least Common Multiple of 4256 and 4264

LCM of 4256 and 4264 is 2268448

Least common multiple can be found by multiplying the highest exponent prime factors of 4256 and 4264. First we will calculate the prime factors of 4256 and 4264.

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 4264


2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 4264 are 2, 13,41. Prime factorization of 4264 in exponential form is:

4264 = 23×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4256 and 4264.

LCM(4256,4264) = 25×71×131×191×411
LCM(4256,4264) = 2268448

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 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264

Least Common Multiple of 4256 and 4264 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 4264, than apply into the LCM equation.

GCF(4256,4264) = 8
LCM(4256,4264) = ( 4256 × 4264) / 8
LCM(4256,4264) = 18147584 / 8
LCM(4256,4264) = 2268448

Properties of LCM 4256 and 4264

(i) The LCM of 4264 and 4256 is associative

LCM of 4256 and 4264 = LCM of 4264 and 4256

Related Least Common Multiples of 4256

Related Least Common Multiples of 4264

Frequently Asked Questions on LCM of 4256 and 4264

1. What is the LCM of 4256 and 4264?

Answer: LCM of 4256 and 4264 is 2268448.

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 4264?

Answer: Factors of 4264 are 1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264. There are 16 integers that are factors of 4264. The greatest factor of 4264 is 4264.

4. How to Find the LCM of 4256 and 4264?

Answer:

Least Common Multiple of 4256 and 4264 = 2268448

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 4264

4264 = 2 x 2 x 2 x 13 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 = 2268448 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 4256 and 4264 is 2268448.