Least Common Multiple of 293 and 301

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 301 the smallest integer that is 88193 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 301 is 88193.

LCM(293,301) = 88193

LCM of 293 and 301

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

LCM of:
and

Least Common Multiple of 293 and 301

LCM of 293 and 301 is 88193

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 301. First we will calculate the prime factors of 293 and 301.

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 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 293 and 301.

LCM(293,301) = 71×431×2931
LCM(293,301) = 88193

Factors of 293

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

1, 293

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Least Common Multiple of 293 and 301 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 301, than apply into the LCM equation.

GCF(293,301) = 1
LCM(293,301) = ( 293 × 301) / 1
LCM(293,301) = 88193 / 1
LCM(293,301) = 88193

Properties of LCM 293 and 301

(i) The LCM of 301 and 293 is associative

LCM of 293 and 301 = LCM of 301 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 301

Frequently Asked Questions on LCM of 293 and 301

1. What is the LCM of 293 and 301?

Answer: LCM of 293 and 301 is 88193.

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 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

4. How to Find the LCM of 293 and 301?

Answer:

Least Common Multiple of 293 and 301 = 88193

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 301

301 = 7 x 43

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

LCM = 88193 = 7 x 43 x 293

Step 4: Therefore, the least common multiple of 293 and 301 is 88193.