Least Common Multiple of 299 and 307

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 307 the smallest integer that is 91793 that is divisible by both numbers.

Least Common Multiple (LCM) of 299 and 307 is 91793.

LCM(299,307) = 91793

LCM of 299 and 307

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

LCM of:
and

Least Common Multiple of 299 and 307

LCM of 299 and 307 is 91793

Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 307. First we will calculate the prime factors of 299 and 307.

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 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 299 and 307.

LCM(299,307) = 131×231×3071
LCM(299,307) = 91793

Factors of 299

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

1, 13, 23, 299

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1, 307

Least Common Multiple of 299 and 307 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 307, than apply into the LCM equation.

GCF(299,307) = 1
LCM(299,307) = ( 299 × 307) / 1
LCM(299,307) = 91793 / 1
LCM(299,307) = 91793

Properties of LCM 299 and 307

(i) The LCM of 307 and 299 is associative

LCM of 299 and 307 = LCM of 307 and 299

Related Least Common Multiples of 299

Related Least Common Multiples of 307

Frequently Asked Questions on LCM of 299 and 307

1. What is the LCM of 299 and 307?

Answer: LCM of 299 and 307 is 91793.

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 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

4. How to Find the LCM of 299 and 307?

Answer:

Least Common Multiple of 299 and 307 = 91793

Step 1: Find the prime factorization of 299

299 = 13 x 23

Step 2: Find the prime factorization of 307

307 = 307

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

LCM = 91793 = 13 x 23 x 307

Step 4: Therefore, the least common multiple of 299 and 307 is 91793.