Least Common Multiple of 1290 and 1291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1290 and 1291 the smallest integer that is 1665390 that is divisible by both numbers.

Least Common Multiple (LCM) of 1290 and 1291 is 1665390.

LCM(1290,1291) = 1665390

LCM of 1290 and 1291

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

LCM of:
and

Least Common Multiple of 1290 and 1291

LCM of 1290 and 1291 is 1665390

Least common multiple can be found by multiplying the highest exponent prime factors of 1290 and 1291. First we will calculate the prime factors of 1290 and 1291.

Prime Factorization of 1290


2 1290
3 645
5 215
43 43
1

Prime factors of 1290 are 2, 3, 5,43. Prime factorization of 1290 in exponential form is:

1290 = 21×31×51×431

Prime Factorization of 1291


1291 1291
1

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

1291 = 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 1290 and 1291.

LCM(1290,1291) = 21×31×51×431×12911
LCM(1290,1291) = 1665390

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290

Factors of 1291

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

1, 1291

Least Common Multiple of 1290 and 1291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1290 and 1291, than apply into the LCM equation.

GCF(1290,1291) = 1
LCM(1290,1291) = ( 1290 × 1291) / 1
LCM(1290,1291) = 1665390 / 1
LCM(1290,1291) = 1665390

Properties of LCM 1290 and 1291

(i) The LCM of 1291 and 1290 is associative

LCM of 1290 and 1291 = LCM of 1291 and 1290

Related Least Common Multiples of 1290

Related Least Common Multiples of 1291

Frequently Asked Questions on LCM of 1290 and 1291

1. What is the LCM of 1290 and 1291?

Answer: LCM of 1290 and 1291 is 1665390.

2. What are the Factors of 1290?

Answer: Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. There are 16 integers that are factors of 1290. The greatest factor of 1290 is 1290.

3. 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.

4. How to Find the LCM of 1290 and 1291?

Answer:

Least Common Multiple of 1290 and 1291 = 1665390

Step 1: Find the prime factorization of 1290

1290 = 2 x 3 x 5 x 43

Step 2: Find the prime factorization of 1291

1291 = 1291

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

LCM = 1665390 = 2 x 3 x 5 x 43 x 1291

Step 4: Therefore, the least common multiple of 1290 and 1291 is 1665390.