Least Common Multiple of 299 and 303

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 303 the smallest integer that is 90597 that is divisible by both numbers.

Least Common Multiple (LCM) of 299 and 303 is 90597.

LCM(299,303) = 90597

LCM of 299 and 303

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

LCM of:
and

Least Common Multiple of 299 and 303

LCM of 299 and 303 is 90597

Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 303. First we will calculate the prime factors of 299 and 303.

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 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 299 and 303.

LCM(299,303) = 31×131×231×1011
LCM(299,303) = 90597

Factors of 299

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

1, 13, 23, 299

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Least Common Multiple of 299 and 303 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 303, than apply into the LCM equation.

GCF(299,303) = 1
LCM(299,303) = ( 299 × 303) / 1
LCM(299,303) = 90597 / 1
LCM(299,303) = 90597

Properties of LCM 299 and 303

(i) The LCM of 303 and 299 is associative

LCM of 299 and 303 = LCM of 303 and 299

Related Least Common Multiples of 299

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 299 and 303

1. What is the LCM of 299 and 303?

Answer: LCM of 299 and 303 is 90597.

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 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the LCM of 299 and 303?

Answer:

Least Common Multiple of 299 and 303 = 90597

Step 1: Find the prime factorization of 299

299 = 13 x 23

Step 2: Find the prime factorization of 303

303 = 3 x 101

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

LCM = 90597 = 3 x 13 x 23 x 101

Step 4: Therefore, the least common multiple of 299 and 303 is 90597.