Least Common Multiple of 4256 and 4262

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 4262 the smallest integer that is 9069536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4256 and 4262 is 9069536.

LCM(4256,4262) = 9069536

LCM of 4256 and 4262

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

LCM of:
and

Least Common Multiple of 4256 and 4262

LCM of 4256 and 4262 is 9069536

Least common multiple can be found by multiplying the highest exponent prime factors of 4256 and 4262. First we will calculate the prime factors of 4256 and 4262.

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 4262


2 4262
2131 2131
1

Prime factors of 4262 are 2,2131. Prime factorization of 4262 in exponential form is:

4262 = 21×21311

Now multiplying the highest exponent prime factors to calculate the LCM of 4256 and 4262.

LCM(4256,4262) = 25×71×191×21311
LCM(4256,4262) = 9069536

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 4262

List of positive integer factors of 4262 that divides 4262 without a remainder.

1, 2, 2131, 4262

Least Common Multiple of 4256 and 4262 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 4262, than apply into the LCM equation.

GCF(4256,4262) = 2
LCM(4256,4262) = ( 4256 × 4262) / 2
LCM(4256,4262) = 18139072 / 2
LCM(4256,4262) = 9069536

Properties of LCM 4256 and 4262

(i) The LCM of 4262 and 4256 is associative

LCM of 4256 and 4262 = LCM of 4262 and 4256

Related Least Common Multiples of 4256

Related Least Common Multiples of 4262

Frequently Asked Questions on LCM of 4256 and 4262

1. What is the LCM of 4256 and 4262?

Answer: LCM of 4256 and 4262 is 9069536.

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 4262?

Answer: Factors of 4262 are 1, 2, 2131, 4262. There are 4 integers that are factors of 4262. The greatest factor of 4262 is 4262.

4. How to Find the LCM of 4256 and 4262?

Answer:

Least Common Multiple of 4256 and 4262 = 9069536

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 4262

4262 = 2 x 2131

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

LCM = 9069536 = 2 x 2 x 2 x 2 x 2 x 7 x 19 x 2131

Step 4: Therefore, the least common multiple of 4256 and 4262 is 9069536.