Least Common Multiple of 293 and 300

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 300 the smallest integer that is 87900 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 300 is 87900.

LCM(293,300) = 87900

LCM of 293 and 300

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

LCM of:
and

Least Common Multiple of 293 and 300

LCM of 293 and 300 is 87900

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 300. First we will calculate the prime factors of 293 and 300.

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 300


2 300
2 150
3 75
5 25
5 5
1

Prime factors of 300 are 2, 3,5. Prime factorization of 300 in exponential form is:

300 = 22×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 293 and 300.

LCM(293,300) = 22×31×52×2931
LCM(293,300) = 87900

Factors of 293

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

1, 293

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Least Common Multiple of 293 and 300 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 300, than apply into the LCM equation.

GCF(293,300) = 1
LCM(293,300) = ( 293 × 300) / 1
LCM(293,300) = 87900 / 1
LCM(293,300) = 87900

Properties of LCM 293 and 300

(i) The LCM of 300 and 293 is associative

LCM of 293 and 300 = LCM of 300 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 300

Frequently Asked Questions on LCM of 293 and 300

1. What is the LCM of 293 and 300?

Answer: LCM of 293 and 300 is 87900.

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 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

4. How to Find the LCM of 293 and 300?

Answer:

Least Common Multiple of 293 and 300 = 87900

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

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

LCM = 87900 = 2 x 2 x 3 x 5 x 5 x 293

Step 4: Therefore, the least common multiple of 293 and 300 is 87900.