Least Common Multiple of 294 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 294 and 297 the smallest integer that is 29106 that is divisible by both numbers.

Least Common Multiple (LCM) of 294 and 297 is 29106.

LCM(294,297) = 29106

LCM of 294 and 297

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

LCM of:
and

Least Common Multiple of 294 and 297

LCM of 294 and 297 is 29106

Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 297. First we will calculate the prime factors of 294 and 297.

Prime Factorization of 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

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 294 and 297.

LCM(294,297) = 21×33×72×111
LCM(294,297) = 29106

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 294 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 294 and 297, than apply into the LCM equation.

GCF(294,297) = 3
LCM(294,297) = ( 294 × 297) / 3
LCM(294,297) = 87318 / 3
LCM(294,297) = 29106

Properties of LCM 294 and 297

(i) The LCM of 297 and 294 is associative

LCM of 294 and 297 = LCM of 297 and 294

Related Least Common Multiples of 294

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 294 and 297

1. What is the LCM of 294 and 297?

Answer: LCM of 294 and 297 is 29106.

2. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

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 294 and 297?

Answer:

Least Common Multiple of 294 and 297 = 29106

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

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 = 29106 = 2 x 3 x 3 x 3 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 294 and 297 is 29106.