Least Common Multiple of 4250 and 4256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4250 and 4256 the smallest integer that is 9044000 that is divisible by both numbers.

Least Common Multiple (LCM) of 4250 and 4256 is 9044000.

LCM(4250,4256) = 9044000

LCM of 4250 and 4256

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

LCM of:
and

Least Common Multiple of 4250 and 4256

LCM of 4250 and 4256 is 9044000

Least common multiple can be found by multiplying the highest exponent prime factors of 4250 and 4256. First we will calculate the prime factors of 4250 and 4256.

Prime Factorization of 4250


2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 4250 are 2, 5,17. Prime factorization of 4250 in exponential form is:

4250 = 21×53×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4250 and 4256.

LCM(4250,4256) = 25×53×71×171×191
LCM(4250,4256) = 9044000

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250

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

Least Common Multiple of 4250 and 4256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4250 and 4256, than apply into the LCM equation.

GCF(4250,4256) = 2
LCM(4250,4256) = ( 4250 × 4256) / 2
LCM(4250,4256) = 18088000 / 2
LCM(4250,4256) = 9044000

Properties of LCM 4250 and 4256

(i) The LCM of 4256 and 4250 is associative

LCM of 4250 and 4256 = LCM of 4256 and 4250

Related Least Common Multiples of 4250

Related Least Common Multiples of 4256

Frequently Asked Questions on LCM of 4250 and 4256

1. What is the LCM of 4250 and 4256?

Answer: LCM of 4250 and 4256 is 9044000.

2. What are the Factors of 4250?

Answer: Factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250. There are 16 integers that are factors of 4250. The greatest factor of 4250 is 4250.

3. 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.

4. How to Find the LCM of 4250 and 4256?

Answer:

Least Common Multiple of 4250 and 4256 = 9044000

Step 1: Find the prime factorization of 4250

4250 = 2 x 5 x 5 x 5 x 17

Step 2: Find the prime factorization of 4256

4256 = 2 x 2 x 2 x 2 x 2 x 7 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 = 9044000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 4250 and 4256 is 9044000.