Least Common Multiple of 299 and 305

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 305 the smallest integer that is 91195 that is divisible by both numbers.

Least Common Multiple (LCM) of 299 and 305 is 91195.

LCM(299,305) = 91195

LCM of 299 and 305

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

LCM of:
and

Least Common Multiple of 299 and 305

LCM of 299 and 305 is 91195

Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 305. First we will calculate the prime factors of 299 and 305.

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 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 299 and 305.

LCM(299,305) = 51×131×231×611
LCM(299,305) = 91195

Factors of 299

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

1, 13, 23, 299

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Least Common Multiple of 299 and 305 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 305, than apply into the LCM equation.

GCF(299,305) = 1
LCM(299,305) = ( 299 × 305) / 1
LCM(299,305) = 91195 / 1
LCM(299,305) = 91195

Properties of LCM 299 and 305

(i) The LCM of 305 and 299 is associative

LCM of 299 and 305 = LCM of 305 and 299

Related Least Common Multiples of 299

Related Least Common Multiples of 305

Frequently Asked Questions on LCM of 299 and 305

1. What is the LCM of 299 and 305?

Answer: LCM of 299 and 305 is 91195.

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 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

4. How to Find the LCM of 299 and 305?

Answer:

Least Common Multiple of 299 and 305 = 91195

Step 1: Find the prime factorization of 299

299 = 13 x 23

Step 2: Find the prime factorization of 305

305 = 5 x 61

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

LCM = 91195 = 5 x 13 x 23 x 61

Step 4: Therefore, the least common multiple of 299 and 305 is 91195.