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 299 the smallest integer that is 88803 that is divisible by both numbers.
Least Common Multiple (LCM) of 297 and 299 is 88803.
LCM(297,299) = 88803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 297 and 299. First we will calculate the prime factors of 297 and 299.
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 299
13 | 299 |
23 | 23 |
1 |
Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:
299 = 131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 297 and 299.
LCM(297,299) = 33×111×131×231
LCM(297,299) = 88803
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 299
List of positive integer factors of 299 that divides 299 without a remainder.
1, 13, 23, 299
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 297 and 299, than apply into the LCM equation.
GCF(297,299) = 1
LCM(297,299) = ( 297 × 299) / 1
LCM(297,299) = 88803 / 1
LCM(297,299) = 88803
(i) The LCM of 299 and 297 is associative
LCM of 297 and 299 = LCM of 299 and 297
1. What is the LCM of 297 and 299?
Answer: LCM of 297 and 299 is 88803.
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 299?
Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.
4. How to Find the LCM of 297 and 299?
Answer:
Least Common Multiple of 297 and 299 = 88803
Step 1: Find the prime factorization of 297
297 = 3 x 3 x 3 x 11
Step 2: Find the prime factorization of 299
299 = 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88803 = 3 x 3 x 3 x 11 x 13 x 23
Step 4: Therefore, the least common multiple of 297 and 299 is 88803.