Least Common Multiple of 290 and 297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 290 and 297 the smallest integer that is 86130 that is divisible by both numbers.

Least Common Multiple (LCM) of 290 and 297 is 86130.

LCM(290,297) = 86130

LCM of 290 and 297

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

LCM of:
and

Least Common Multiple of 290 and 297

LCM of 290 and 297 is 86130

Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 297. First we will calculate the prime factors of 290 and 297.

Prime Factorization of 290


2 290
5 145
29 29
1

Prime factors of 290 are 2, 5,29. Prime factorization of 290 in exponential form is:

290 = 21×51×291

Prime Factorization of 297


3 297
3 99
3 33
11 11
1

Prime factors of 297 are 3,11. Prime factorization of 297 in exponential form is:

297 = 33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 297.

LCM(290,297) = 21×33×51×111×291
LCM(290,297) = 86130

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Least Common Multiple of 290 and 297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 297, than apply into the LCM equation.

GCF(290,297) = 1
LCM(290,297) = ( 290 × 297) / 1
LCM(290,297) = 86130 / 1
LCM(290,297) = 86130

Properties of LCM 290 and 297

(i) The LCM of 297 and 290 is associative

LCM of 290 and 297 = LCM of 297 and 290

Related Least Common Multiples of 290

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 290 and 297

1. What is the LCM of 290 and 297?

Answer: LCM of 290 and 297 is 86130.

2. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

3. What are the Factors of 297?

Answer: Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. There are 8 integers that are factors of 297. The greatest factor of 297 is 297.

4. How to Find the LCM of 290 and 297?

Answer:

Least Common Multiple of 290 and 297 = 86130

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

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

LCM = 86130 = 2 x 3 x 3 x 3 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 290 and 297 is 86130.