Least Common Multiple of 299 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 299 and 300 the smallest integer that is 89700 that is divisible by both numbers.

Least Common Multiple (LCM) of 299 and 300 is 89700.

LCM(299,300) = 89700

LCM of 299 and 300

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

LCM of:
and

Least Common Multiple of 299 and 300

LCM of 299 and 300 is 89700

Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 300. First we will calculate the prime factors of 299 and 300.

Prime Factorization of 299


13 299
23 23
1

Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:

299 = 131×231

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 299 and 300.

LCM(299,300) = 22×31×52×131×231
LCM(299,300) = 89700

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 299 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 299 and 300, than apply into the LCM equation.

GCF(299,300) = 1
LCM(299,300) = ( 299 × 300) / 1
LCM(299,300) = 89700 / 1
LCM(299,300) = 89700

Properties of LCM 299 and 300

(i) The LCM of 300 and 299 is associative

LCM of 299 and 300 = LCM of 300 and 299

Related Least Common Multiples of 299

Related Least Common Multiples of 300

Frequently Asked Questions on LCM of 299 and 300

1. What is the LCM of 299 and 300?

Answer: LCM of 299 and 300 is 89700.

2. What are the Factors of 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

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 299 and 300?

Answer:

Least Common Multiple of 299 and 300 = 89700

Step 1: Find the prime factorization of 299

299 = 13 x 23

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 = 89700 = 2 x 2 x 3 x 5 x 5 x 13 x 23

Step 4: Therefore, the least common multiple of 299 and 300 is 89700.