Least Common Multiple of 4256 and 4263

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 4263 the smallest integer that is 2591904 that is divisible by both numbers.

Least Common Multiple (LCM) of 4256 and 4263 is 2591904.

LCM(4256,4263) = 2591904

LCM of 4256 and 4263

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

LCM of:
and

Least Common Multiple of 4256 and 4263

LCM of 4256 and 4263 is 2591904

Least common multiple can be found by multiplying the highest exponent prime factors of 4256 and 4263. First we will calculate the prime factors of 4256 and 4263.

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 4263


3 4263
7 1421
7 203
29 29
1

Prime factors of 4263 are 3, 7,29. Prime factorization of 4263 in exponential form is:

4263 = 31×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4256 and 4263.

LCM(4256,4263) = 25×31×72×191×291
LCM(4256,4263) = 2591904

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 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263

Least Common Multiple of 4256 and 4263 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 4263, than apply into the LCM equation.

GCF(4256,4263) = 7
LCM(4256,4263) = ( 4256 × 4263) / 7
LCM(4256,4263) = 18143328 / 7
LCM(4256,4263) = 2591904

Properties of LCM 4256 and 4263

(i) The LCM of 4263 and 4256 is associative

LCM of 4256 and 4263 = LCM of 4263 and 4256

Related Least Common Multiples of 4256

Related Least Common Multiples of 4263

Frequently Asked Questions on LCM of 4256 and 4263

1. What is the LCM of 4256 and 4263?

Answer: LCM of 4256 and 4263 is 2591904.

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 4263?

Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.

4. How to Find the LCM of 4256 and 4263?

Answer:

Least Common Multiple of 4256 and 4263 = 2591904

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 4263

4263 = 3 x 7 x 7 x 29

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

LCM = 2591904 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 4256 and 4263 is 2591904.