Least Common Multiple of 293 and 295

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 295 the smallest integer that is 86435 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 295 is 86435.

LCM(293,295) = 86435

LCM of 293 and 295

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

LCM of:
and

Least Common Multiple of 293 and 295

LCM of 293 and 295 is 86435

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 295. First we will calculate the prime factors of 293 and 295.

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 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 293 and 295.

LCM(293,295) = 51×591×2931
LCM(293,295) = 86435

Factors of 293

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

1, 293

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 293 and 295 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 295, than apply into the LCM equation.

GCF(293,295) = 1
LCM(293,295) = ( 293 × 295) / 1
LCM(293,295) = 86435 / 1
LCM(293,295) = 86435

Properties of LCM 293 and 295

(i) The LCM of 295 and 293 is associative

LCM of 293 and 295 = LCM of 295 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 293 and 295

1. What is the LCM of 293 and 295?

Answer: LCM of 293 and 295 is 86435.

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 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 293 and 295?

Answer:

Least Common Multiple of 293 and 295 = 86435

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 295

295 = 5 x 59

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

LCM = 86435 = 5 x 59 x 293

Step 4: Therefore, the least common multiple of 293 and 295 is 86435.