Least Common Multiple of 1251 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 1251 and 1256 the smallest integer that is 1571256 that is divisible by both numbers.

Least Common Multiple (LCM) of 1251 and 1256 is 1571256.

LCM(1251,1256) = 1571256

LCM of 1251 and 1256

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

LCM of:
and

Least Common Multiple of 1251 and 1256

LCM of 1251 and 1256 is 1571256

Least common multiple can be found by multiplying the highest exponent prime factors of 1251 and 1256. First we will calculate the prime factors of 1251 and 1256.

Prime Factorization of 1251


3 1251
3 417
139 139
1

Prime factors of 1251 are 3,139. Prime factorization of 1251 in exponential form is:

1251 = 32×1391

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 1251 and 1256.

LCM(1251,1256) = 23×32×1391×1571
LCM(1251,1256) = 1571256

Factors of 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1, 3, 9, 139, 417, 1251

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 1251 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 1251 and 1256, than apply into the LCM equation.

GCF(1251,1256) = 1
LCM(1251,1256) = ( 1251 × 1256) / 1
LCM(1251,1256) = 1571256 / 1
LCM(1251,1256) = 1571256

Properties of LCM 1251 and 1256

(i) The LCM of 1256 and 1251 is associative

LCM of 1251 and 1256 = LCM of 1256 and 1251

Related Least Common Multiples of 1251

Related Least Common Multiples of 1256

Frequently Asked Questions on LCM of 1251 and 1256

1. What is the LCM of 1251 and 1256?

Answer: LCM of 1251 and 1256 is 1571256.

2. What are the Factors of 1251?

Answer: Factors of 1251 are 1, 3, 9, 139, 417, 1251. There are 6 integers that are factors of 1251. The greatest factor of 1251 is 1251.

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 1251 and 1256?

Answer:

Least Common Multiple of 1251 and 1256 = 1571256

Step 1: Find the prime factorization of 1251

1251 = 3 x 3 x 139

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 = 1571256 = 2 x 2 x 2 x 3 x 3 x 139 x 157

Step 4: Therefore, the least common multiple of 1251 and 1256 is 1571256.