Least Common Multiple of 293 and 299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 293 and 299 the smallest integer that is 87607 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 299 is 87607.

LCM(293,299) = 87607

LCM of 293 and 299

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

LCM of:
and

Least Common Multiple of 293 and 299

LCM of 293 and 299 is 87607

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 299. First we will calculate the prime factors of 293 and 299.

Prime Factorization of 293


293 293
1

Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:

293 = 2931

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 293 and 299.

LCM(293,299) = 131×231×2931
LCM(293,299) = 87607

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1, 293

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Least Common Multiple of 293 and 299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 293 and 299, than apply into the LCM equation.

GCF(293,299) = 1
LCM(293,299) = ( 293 × 299) / 1
LCM(293,299) = 87607 / 1
LCM(293,299) = 87607

Properties of LCM 293 and 299

(i) The LCM of 299 and 293 is associative

LCM of 293 and 299 = LCM of 299 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 299

Frequently Asked Questions on LCM of 293 and 299

1. What is the LCM of 293 and 299?

Answer: LCM of 293 and 299 is 87607.

2. What are the Factors of 293?

Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.

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 293 and 299?

Answer:

Least Common Multiple of 293 and 299 = 87607

Step 1: Find the prime factorization of 293

293 = 293

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 = 87607 = 13 x 23 x 293

Step 4: Therefore, the least common multiple of 293 and 299 is 87607.