Least Common Multiple of 4248 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 4248 and 4256 the smallest integer that is 2259936 that is divisible by both numbers.

Least Common Multiple (LCM) of 4248 and 4256 is 2259936.

LCM(4248,4256) = 2259936

LCM of 4248 and 4256

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

LCM of:
and

Least Common Multiple of 4248 and 4256

LCM of 4248 and 4256 is 2259936

Least common multiple can be found by multiplying the highest exponent prime factors of 4248 and 4256. First we will calculate the prime factors of 4248 and 4256.

Prime Factorization of 4248


2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 4248 are 2, 3,59. Prime factorization of 4248 in exponential form is:

4248 = 23×32×591

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 4248 and 4256.

LCM(4248,4256) = 25×32×71×191×591
LCM(4248,4256) = 2259936

Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248

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 4248 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 4248 and 4256, than apply into the LCM equation.

GCF(4248,4256) = 8
LCM(4248,4256) = ( 4248 × 4256) / 8
LCM(4248,4256) = 18079488 / 8
LCM(4248,4256) = 2259936

Properties of LCM 4248 and 4256

(i) The LCM of 4256 and 4248 is associative

LCM of 4248 and 4256 = LCM of 4256 and 4248

Related Least Common Multiples of 4248

Related Least Common Multiples of 4256

Frequently Asked Questions on LCM of 4248 and 4256

1. What is the LCM of 4248 and 4256?

Answer: LCM of 4248 and 4256 is 2259936.

2. What are the Factors of 4248?

Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.

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 4248 and 4256?

Answer:

Least Common Multiple of 4248 and 4256 = 2259936

Step 1: Find the prime factorization of 4248

4248 = 2 x 2 x 2 x 3 x 3 x 59

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 = 2259936 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 59

Step 4: Therefore, the least common multiple of 4248 and 4256 is 2259936.