Least Common Multiple of 252 and 256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 252 and 256 the smallest integer that is 16128 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 256 is 16128.

LCM(252,256) = 16128

LCM of 252 and 256

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

LCM of:
and

Least Common Multiple of 252 and 256

LCM of 252 and 256 is 16128

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 256. First we will calculate the prime factors of 252 and 256.

Prime Factorization of 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2, 3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

Prime Factorization of 256


2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:

256 = 28

Now multiplying the highest exponent prime factors to calculate the LCM of 252 and 256.

LCM(252,256) = 28×32×71
LCM(252,256) = 16128

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Least Common Multiple of 252 and 256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 256, than apply into the LCM equation.

GCF(252,256) = 4
LCM(252,256) = ( 252 × 256) / 4
LCM(252,256) = 64512 / 4
LCM(252,256) = 16128

Properties of LCM 252 and 256

(i) The LCM of 256 and 252 is associative

LCM of 252 and 256 = LCM of 256 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 256

Frequently Asked Questions on LCM of 252 and 256

1. What is the LCM of 252 and 256?

Answer: LCM of 252 and 256 is 16128.

2. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

3. What are the Factors of 256?

Answer: Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. There are 9 integers that are factors of 256. The greatest factor of 256 is 256.

4. How to Find the LCM of 252 and 256?

Answer:

Least Common Multiple of 252 and 256 = 16128

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 256

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

LCM = 16128 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 4: Therefore, the least common multiple of 252 and 256 is 16128.