Least Common Multiple of 1291 and 1299

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 1299 the smallest integer that is 1677009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1291 and 1299 is 1677009.

LCM(1291,1299) = 1677009

LCM of 1291 and 1299

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

LCM of:
and

Least Common Multiple of 1291 and 1299

LCM of 1291 and 1299 is 1677009

Least common multiple can be found by multiplying the highest exponent prime factors of 1291 and 1299. First we will calculate the prime factors of 1291 and 1299.

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 1299


3 1299
433 433
1

Prime factors of 1299 are 3,433. Prime factorization of 1299 in exponential form is:

1299 = 31×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 1291 and 1299.

LCM(1291,1299) = 31×4331×12911
LCM(1291,1299) = 1677009

Factors of 1291

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

1, 1291

Factors of 1299

List of positive integer factors of 1299 that divides 1299 without a remainder.

1, 3, 433, 1299

Least Common Multiple of 1291 and 1299 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 1299, than apply into the LCM equation.

GCF(1291,1299) = 1
LCM(1291,1299) = ( 1291 × 1299) / 1
LCM(1291,1299) = 1677009 / 1
LCM(1291,1299) = 1677009

Properties of LCM 1291 and 1299

(i) The LCM of 1299 and 1291 is associative

LCM of 1291 and 1299 = LCM of 1299 and 1291

Related Least Common Multiples of 1291

Related Least Common Multiples of 1299

Frequently Asked Questions on LCM of 1291 and 1299

1. What is the LCM of 1291 and 1299?

Answer: LCM of 1291 and 1299 is 1677009.

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 1299?

Answer: Factors of 1299 are 1, 3, 433, 1299. There are 4 integers that are factors of 1299. The greatest factor of 1299 is 1299.

4. How to Find the LCM of 1291 and 1299?

Answer:

Least Common Multiple of 1291 and 1299 = 1677009

Step 1: Find the prime factorization of 1291

1291 = 1291

Step 2: Find the prime factorization of 1299

1299 = 3 x 433

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

LCM = 1677009 = 3 x 433 x 1291

Step 4: Therefore, the least common multiple of 1291 and 1299 is 1677009.