Least Common Multiple of 293 and 294

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 294 the smallest integer that is 86142 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 294 is 86142.

LCM(293,294) = 86142

LCM of 293 and 294

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

LCM of:
and

Least Common Multiple of 293 and 294

LCM of 293 and 294 is 86142

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 294. First we will calculate the prime factors of 293 and 294.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 293 and 294.

LCM(293,294) = 21×31×72×2931
LCM(293,294) = 86142

Factors of 293

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

1, 293

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

Least Common Multiple of 293 and 294 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 294, than apply into the LCM equation.

GCF(293,294) = 1
LCM(293,294) = ( 293 × 294) / 1
LCM(293,294) = 86142 / 1
LCM(293,294) = 86142

Properties of LCM 293 and 294

(i) The LCM of 294 and 293 is associative

LCM of 293 and 294 = LCM of 294 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 294

Frequently Asked Questions on LCM of 293 and 294

1. What is the LCM of 293 and 294?

Answer: LCM of 293 and 294 is 86142.

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 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.

4. How to Find the LCM of 293 and 294?

Answer:

Least Common Multiple of 293 and 294 = 86142

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

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

LCM = 86142 = 2 x 3 x 7 x 7 x 293

Step 4: Therefore, the least common multiple of 293 and 294 is 86142.