Least Common Multiple of 1291 and 1297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1291 and 1297 the smallest integer that is 1674427 that is divisible by both numbers.

Least Common Multiple (LCM) of 1291 and 1297 is 1674427.

LCM(1291,1297) = 1674427

LCM of 1291 and 1297

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

LCM of:
and

Least Common Multiple of 1291 and 1297

LCM of 1291 and 1297 is 1674427

Least common multiple can be found by multiplying the highest exponent prime factors of 1291 and 1297. First we will calculate the prime factors of 1291 and 1297.

Prime Factorization of 1291


1291 1291
1

Prime factors of 1291 are 1291. Prime factorization of 1291 in exponential form is:

1291 = 12911

Prime Factorization of 1297


1297 1297
1

Prime factors of 1297 are 1297. Prime factorization of 1297 in exponential form is:

1297 = 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 1291 and 1297.

LCM(1291,1297) = 12911×12971
LCM(1291,1297) = 1674427

Factors of 1291

List of positive integer factors of 1291 that divides 1291 without a remainder.

1, 1291

Factors of 1297

List of positive integer factors of 1297 that divides 1297 without a remainder.

1, 1297

Least Common Multiple of 1291 and 1297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1291 and 1297, than apply into the LCM equation.

GCF(1291,1297) = 1
LCM(1291,1297) = ( 1291 × 1297) / 1
LCM(1291,1297) = 1674427 / 1
LCM(1291,1297) = 1674427

Properties of LCM 1291 and 1297

(i) The LCM of 1297 and 1291 is associative

LCM of 1291 and 1297 = LCM of 1297 and 1291

Related Least Common Multiples of 1291

Related Least Common Multiples of 1297

Frequently Asked Questions on LCM of 1291 and 1297

1. What is the LCM of 1291 and 1297?

Answer: LCM of 1291 and 1297 is 1674427.

2. What are the Factors of 1291?

Answer: Factors of 1291 are 1, 1291. There are 2 integers that are factors of 1291. The greatest factor of 1291 is 1291.

3. What are the Factors of 1297?

Answer: Factors of 1297 are 1, 1297. There are 2 integers that are factors of 1297. The greatest factor of 1297 is 1297.

4. How to Find the LCM of 1291 and 1297?

Answer:

Least Common Multiple of 1291 and 1297 = 1674427

Step 1: Find the prime factorization of 1291

1291 = 1291

Step 2: Find the prime factorization of 1297

1297 = 1297

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

LCM = 1674427 = 1291 x 1297

Step 4: Therefore, the least common multiple of 1291 and 1297 is 1674427.