Least Common Multiple of 296 and 299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 296 and 299 the smallest integer that is 88504 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 299 is 88504.

LCM(296,299) = 88504

LCM of 296 and 299

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

LCM of:
and

Least Common Multiple of 296 and 299

LCM of 296 and 299 is 88504

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 299. First we will calculate the prime factors of 296 and 299.

Prime Factorization of 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 296 and 299.

LCM(296,299) = 23×131×231×371
LCM(296,299) = 88504

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Factors of 299

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

1, 13, 23, 299

Least Common Multiple of 296 and 299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 296 and 299, than apply into the LCM equation.

GCF(296,299) = 1
LCM(296,299) = ( 296 × 299) / 1
LCM(296,299) = 88504 / 1
LCM(296,299) = 88504

Properties of LCM 296 and 299

(i) The LCM of 299 and 296 is associative

LCM of 296 and 299 = LCM of 299 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 299

Frequently Asked Questions on LCM of 296 and 299

1. What is the LCM of 296 and 299?

Answer: LCM of 296 and 299 is 88504.

2. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

3. 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.

4. How to Find the LCM of 296 and 299?

Answer:

Least Common Multiple of 296 and 299 = 88504

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 299

299 = 13 x 23

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

LCM = 88504 = 2 x 2 x 2 x 13 x 23 x 37

Step 4: Therefore, the least common multiple of 296 and 299 is 88504.