Least Common Multiple of 299 and 306

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 306 the smallest integer that is 91494 that is divisible by both numbers.

Least Common Multiple (LCM) of 299 and 306 is 91494.

LCM(299,306) = 91494

LCM of 299 and 306

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

LCM of:
and

Least Common Multiple of 299 and 306

LCM of 299 and 306 is 91494

Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 306. First we will calculate the prime factors of 299 and 306.

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 306


2 306
3 153
3 51
17 17
1

Prime factors of 306 are 2, 3,17. Prime factorization of 306 in exponential form is:

306 = 21×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 299 and 306.

LCM(299,306) = 21×32×131×171×231
LCM(299,306) = 91494

Factors of 299

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

1, 13, 23, 299

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Least Common Multiple of 299 and 306 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 306, than apply into the LCM equation.

GCF(299,306) = 1
LCM(299,306) = ( 299 × 306) / 1
LCM(299,306) = 91494 / 1
LCM(299,306) = 91494

Properties of LCM 299 and 306

(i) The LCM of 306 and 299 is associative

LCM of 299 and 306 = LCM of 306 and 299

Related Least Common Multiples of 299

Related Least Common Multiples of 306

Frequently Asked Questions on LCM of 299 and 306

1. What is the LCM of 299 and 306?

Answer: LCM of 299 and 306 is 91494.

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 306?

Answer: Factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. There are 12 integers that are factors of 306. The greatest factor of 306 is 306.

4. How to Find the LCM of 299 and 306?

Answer:

Least Common Multiple of 299 and 306 = 91494

Step 1: Find the prime factorization of 299

299 = 13 x 23

Step 2: Find the prime factorization of 306

306 = 2 x 3 x 3 x 17

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

LCM = 91494 = 2 x 3 x 3 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 299 and 306 is 91494.