Least Common Multiple of 1253 and 1256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1253 and 1256 the smallest integer that is 1573768 that is divisible by both numbers.

Least Common Multiple (LCM) of 1253 and 1256 is 1573768.

LCM(1253,1256) = 1573768

LCM of 1253 and 1256

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

LCM of:
and

Least Common Multiple of 1253 and 1256

LCM of 1253 and 1256 is 1573768

Least common multiple can be found by multiplying the highest exponent prime factors of 1253 and 1256. First we will calculate the prime factors of 1253 and 1256.

Prime Factorization of 1253


7 1253
179 179
1

Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:

1253 = 71×1791

Prime Factorization of 1256


2 1256
2 628
2 314
157 157
1

Prime factors of 1256 are 2,157. Prime factorization of 1256 in exponential form is:

1256 = 23×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1253 and 1256.

LCM(1253,1256) = 23×71×1571×1791
LCM(1253,1256) = 1573768

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1, 7, 179, 1253

Factors of 1256

List of positive integer factors of 1256 that divides 1256 without a remainder.

1, 2, 4, 8, 157, 314, 628, 1256

Least Common Multiple of 1253 and 1256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1253 and 1256, than apply into the LCM equation.

GCF(1253,1256) = 1
LCM(1253,1256) = ( 1253 × 1256) / 1
LCM(1253,1256) = 1573768 / 1
LCM(1253,1256) = 1573768

Properties of LCM 1253 and 1256

(i) The LCM of 1256 and 1253 is associative

LCM of 1253 and 1256 = LCM of 1256 and 1253

Related Least Common Multiples of 1253

Related Least Common Multiples of 1256

Frequently Asked Questions on LCM of 1253 and 1256

1. What is the LCM of 1253 and 1256?

Answer: LCM of 1253 and 1256 is 1573768.

2. What are the Factors of 1253?

Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.

3. What are the Factors of 1256?

Answer: Factors of 1256 are 1, 2, 4, 8, 157, 314, 628, 1256. There are 8 integers that are factors of 1256. The greatest factor of 1256 is 1256.

4. How to Find the LCM of 1253 and 1256?

Answer:

Least Common Multiple of 1253 and 1256 = 1573768

Step 1: Find the prime factorization of 1253

1253 = 7 x 179

Step 2: Find the prime factorization of 1256

1256 = 2 x 2 x 2 x 157

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

LCM = 1573768 = 2 x 2 x 2 x 7 x 157 x 179

Step 4: Therefore, the least common multiple of 1253 and 1256 is 1573768.