Least Common Multiple of 296 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 296 and 297 the smallest integer that is 87912 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 297 is 87912.

LCM(296,297) = 87912

LCM of 296 and 297

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

LCM of:
and

Least Common Multiple of 296 and 297

LCM of 296 and 297 is 87912

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 297. First we will calculate the prime factors of 296 and 297.

Prime Factorization of 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

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 296 and 297.

LCM(296,297) = 23×33×111×371
LCM(296,297) = 87912

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 296 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 296 and 297, than apply into the LCM equation.

GCF(296,297) = 1
LCM(296,297) = ( 296 × 297) / 1
LCM(296,297) = 87912 / 1
LCM(296,297) = 87912

Properties of LCM 296 and 297

(i) The LCM of 297 and 296 is associative

LCM of 296 and 297 = LCM of 297 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 296 and 297

1. What is the LCM of 296 and 297?

Answer: LCM of 296 and 297 is 87912.

2. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

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 296 and 297?

Answer:

Least Common Multiple of 296 and 297 = 87912

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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 = 87912 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 37

Step 4: Therefore, the least common multiple of 296 and 297 is 87912.