Least Common Multiple of 297 and 298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 297 and 298 the smallest integer that is 88506 that is divisible by both numbers.

Least Common Multiple (LCM) of 297 and 298 is 88506.

LCM(297,298) = 88506

LCM of 297 and 298

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

LCM of:
and

Least Common Multiple of 297 and 298

LCM of 297 and 298 is 88506

Least common multiple can be found by multiplying the highest exponent prime factors of 297 and 298. First we will calculate the prime factors of 297 and 298.

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

Prime Factorization of 298


2 298
149 149
1

Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:

298 = 21×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 297 and 298.

LCM(297,298) = 21×33×111×1491
LCM(297,298) = 88506

Factors of 297

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

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

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Least Common Multiple of 297 and 298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 297 and 298, than apply into the LCM equation.

GCF(297,298) = 1
LCM(297,298) = ( 297 × 298) / 1
LCM(297,298) = 88506 / 1
LCM(297,298) = 88506

Properties of LCM 297 and 298

(i) The LCM of 298 and 297 is associative

LCM of 297 and 298 = LCM of 298 and 297

Related Least Common Multiples of 297

Related Least Common Multiples of 298

Frequently Asked Questions on LCM of 297 and 298

1. What is the LCM of 297 and 298?

Answer: LCM of 297 and 298 is 88506.

2. 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.

3. What are the Factors of 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

4. How to Find the LCM of 297 and 298?

Answer:

Least Common Multiple of 297 and 298 = 88506

Step 1: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 298

298 = 2 x 149

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

LCM = 88506 = 2 x 3 x 3 x 3 x 11 x 149

Step 4: Therefore, the least common multiple of 297 and 298 is 88506.