Least Common Multiple of 296 and 301

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 301 the smallest integer that is 89096 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 301 is 89096.

LCM(296,301) = 89096

LCM of 296 and 301

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

LCM of:
and

Least Common Multiple of 296 and 301

LCM of 296 and 301 is 89096

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 301. First we will calculate the prime factors of 296 and 301.

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 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 296 and 301.

LCM(296,301) = 23×71×371×431
LCM(296,301) = 89096

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 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Least Common Multiple of 296 and 301 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 301, than apply into the LCM equation.

GCF(296,301) = 1
LCM(296,301) = ( 296 × 301) / 1
LCM(296,301) = 89096 / 1
LCM(296,301) = 89096

Properties of LCM 296 and 301

(i) The LCM of 301 and 296 is associative

LCM of 296 and 301 = LCM of 301 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 301

Frequently Asked Questions on LCM of 296 and 301

1. What is the LCM of 296 and 301?

Answer: LCM of 296 and 301 is 89096.

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 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

4. How to Find the LCM of 296 and 301?

Answer:

Least Common Multiple of 296 and 301 = 89096

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 301

301 = 7 x 43

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

LCM = 89096 = 2 x 2 x 2 x 7 x 37 x 43

Step 4: Therefore, the least common multiple of 296 and 301 is 89096.