Least Common Multiple of 293 and 298

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 298 the smallest integer that is 87314 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 298 is 87314.

LCM(293,298) = 87314

LCM of 293 and 298

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

LCM of:
and

Least Common Multiple of 293 and 298

LCM of 293 and 298 is 87314

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 298. First we will calculate the prime factors of 293 and 298.

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 298


2 298
149 149
1

Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:

298 = 21×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 293 and 298.

LCM(293,298) = 21×1491×2931
LCM(293,298) = 87314

Factors of 293

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

1, 293

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Least Common Multiple of 293 and 298 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 298, than apply into the LCM equation.

GCF(293,298) = 1
LCM(293,298) = ( 293 × 298) / 1
LCM(293,298) = 87314 / 1
LCM(293,298) = 87314

Properties of LCM 293 and 298

(i) The LCM of 298 and 293 is associative

LCM of 293 and 298 = LCM of 298 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 298

Frequently Asked Questions on LCM of 293 and 298

1. What is the LCM of 293 and 298?

Answer: LCM of 293 and 298 is 87314.

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 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

4. How to Find the LCM of 293 and 298?

Answer:

Least Common Multiple of 293 and 298 = 87314

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 298

298 = 2 x 149

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

LCM = 87314 = 2 x 149 x 293

Step 4: Therefore, the least common multiple of 293 and 298 is 87314.