Least Common Multiple of 1252 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 1252 and 1256 the smallest integer that is 393128 that is divisible by both numbers.

Least Common Multiple (LCM) of 1252 and 1256 is 393128.

LCM(1252,1256) = 393128

LCM of 1252 and 1256

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

LCM of:
and

Least Common Multiple of 1252 and 1256

LCM of 1252 and 1256 is 393128

Least common multiple can be found by multiplying the highest exponent prime factors of 1252 and 1256. First we will calculate the prime factors of 1252 and 1256.

Prime Factorization of 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

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 1252 and 1256.

LCM(1252,1256) = 23×1571×3131
LCM(1252,1256) = 393128

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1, 2, 4, 313, 626, 1252

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 1252 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 1252 and 1256, than apply into the LCM equation.

GCF(1252,1256) = 4
LCM(1252,1256) = ( 1252 × 1256) / 4
LCM(1252,1256) = 1572512 / 4
LCM(1252,1256) = 393128

Properties of LCM 1252 and 1256

(i) The LCM of 1256 and 1252 is associative

LCM of 1252 and 1256 = LCM of 1256 and 1252

Related Least Common Multiples of 1252

Related Least Common Multiples of 1256

Frequently Asked Questions on LCM of 1252 and 1256

1. What is the LCM of 1252 and 1256?

Answer: LCM of 1252 and 1256 is 393128.

2. What are the Factors of 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

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 1252 and 1256?

Answer:

Least Common Multiple of 1252 and 1256 = 393128

Step 1: Find the prime factorization of 1252

1252 = 2 x 2 x 313

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 = 393128 = 2 x 2 x 2 x 157 x 313

Step 4: Therefore, the least common multiple of 1252 and 1256 is 393128.