Least Common Multiple of 292 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 292 and 297 the smallest integer that is 86724 that is divisible by both numbers.

Least Common Multiple (LCM) of 292 and 297 is 86724.

LCM(292,297) = 86724

LCM of 292 and 297

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

LCM of:
and

Least Common Multiple of 292 and 297

LCM of 292 and 297 is 86724

Least common multiple can be found by multiplying the highest exponent prime factors of 292 and 297. First we will calculate the prime factors of 292 and 297.

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

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 292 and 297.

LCM(292,297) = 22×33×111×731
LCM(292,297) = 86724

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 292 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 292 and 297, than apply into the LCM equation.

GCF(292,297) = 1
LCM(292,297) = ( 292 × 297) / 1
LCM(292,297) = 86724 / 1
LCM(292,297) = 86724

Properties of LCM 292 and 297

(i) The LCM of 297 and 292 is associative

LCM of 292 and 297 = LCM of 297 and 292

Related Least Common Multiples of 292

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 292 and 297

1. What is the LCM of 292 and 297?

Answer: LCM of 292 and 297 is 86724.

2. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

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 292 and 297?

Answer:

Least Common Multiple of 292 and 297 = 86724

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

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 = 86724 = 2 x 2 x 3 x 3 x 3 x 11 x 73

Step 4: Therefore, the least common multiple of 292 and 297 is 86724.