Least Common Multiple of 1256 and 1261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1256 and 1261 the smallest integer that is 1583816 that is divisible by both numbers.

Least Common Multiple (LCM) of 1256 and 1261 is 1583816.

LCM(1256,1261) = 1583816

LCM of 1256 and 1261

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

LCM of:
and

Least Common Multiple of 1256 and 1261

LCM of 1256 and 1261 is 1583816

Least common multiple can be found by multiplying the highest exponent prime factors of 1256 and 1261. First we will calculate the prime factors of 1256 and 1261.

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

Prime Factorization of 1261


13 1261
97 97
1

Prime factors of 1261 are 13,97. Prime factorization of 1261 in exponential form is:

1261 = 131×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1256 and 1261.

LCM(1256,1261) = 23×131×971×1571
LCM(1256,1261) = 1583816

Factors of 1256

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

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

Factors of 1261

List of positive integer factors of 1261 that divides 1261 without a remainder.

1, 13, 97, 1261

Least Common Multiple of 1256 and 1261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1256 and 1261, than apply into the LCM equation.

GCF(1256,1261) = 1
LCM(1256,1261) = ( 1256 × 1261) / 1
LCM(1256,1261) = 1583816 / 1
LCM(1256,1261) = 1583816

Properties of LCM 1256 and 1261

(i) The LCM of 1261 and 1256 is associative

LCM of 1256 and 1261 = LCM of 1261 and 1256

Related Least Common Multiples of 1256

Related Least Common Multiples of 1261

Frequently Asked Questions on LCM of 1256 and 1261

1. What is the LCM of 1256 and 1261?

Answer: LCM of 1256 and 1261 is 1583816.

2. 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.

3. What are the Factors of 1261?

Answer: Factors of 1261 are 1, 13, 97, 1261. There are 4 integers that are factors of 1261. The greatest factor of 1261 is 1261.

4. How to Find the LCM of 1256 and 1261?

Answer:

Least Common Multiple of 1256 and 1261 = 1583816

Step 1: Find the prime factorization of 1256

1256 = 2 x 2 x 2 x 157

Step 2: Find the prime factorization of 1261

1261 = 13 x 97

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

LCM = 1583816 = 2 x 2 x 2 x 13 x 97 x 157

Step 4: Therefore, the least common multiple of 1256 and 1261 is 1583816.