Least Common Multiple of 1261 and 1268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1261 and 1268 the smallest integer that is 1598948 that is divisible by both numbers.

Least Common Multiple (LCM) of 1261 and 1268 is 1598948.

LCM(1261,1268) = 1598948

LCM of 1261 and 1268

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

LCM of:
and

Least Common Multiple of 1261 and 1268

LCM of 1261 and 1268 is 1598948

Least common multiple can be found by multiplying the highest exponent prime factors of 1261 and 1268. First we will calculate the prime factors of 1261 and 1268.

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

Prime Factorization of 1268


2 1268
2 634
317 317
1

Prime factors of 1268 are 2,317. Prime factorization of 1268 in exponential form is:

1268 = 22×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 1261 and 1268.

LCM(1261,1268) = 22×131×971×3171
LCM(1261,1268) = 1598948

Factors of 1261

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

1, 13, 97, 1261

Factors of 1268

List of positive integer factors of 1268 that divides 1268 without a remainder.

1, 2, 4, 317, 634, 1268

Least Common Multiple of 1261 and 1268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1261 and 1268, than apply into the LCM equation.

GCF(1261,1268) = 1
LCM(1261,1268) = ( 1261 × 1268) / 1
LCM(1261,1268) = 1598948 / 1
LCM(1261,1268) = 1598948

Properties of LCM 1261 and 1268

(i) The LCM of 1268 and 1261 is associative

LCM of 1261 and 1268 = LCM of 1268 and 1261

Related Least Common Multiples of 1261

Related Least Common Multiples of 1268

Frequently Asked Questions on LCM of 1261 and 1268

1. What is the LCM of 1261 and 1268?

Answer: LCM of 1261 and 1268 is 1598948.

2. 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.

3. What are the Factors of 1268?

Answer: Factors of 1268 are 1, 2, 4, 317, 634, 1268. There are 6 integers that are factors of 1268. The greatest factor of 1268 is 1268.

4. How to Find the LCM of 1261 and 1268?

Answer:

Least Common Multiple of 1261 and 1268 = 1598948

Step 1: Find the prime factorization of 1261

1261 = 13 x 97

Step 2: Find the prime factorization of 1268

1268 = 2 x 2 x 317

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

LCM = 1598948 = 2 x 2 x 13 x 97 x 317

Step 4: Therefore, the least common multiple of 1261 and 1268 is 1598948.