Least Common Multiple of 296 and 298

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 298 the smallest integer that is 44104 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 298 is 44104.

LCM(296,298) = 44104

LCM of 296 and 298

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

LCM of:
and

Least Common Multiple of 296 and 298

LCM of 296 and 298 is 44104

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 298. First we will calculate the prime factors of 296 and 298.

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 298


2 298
149 149
1

Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:

298 = 21×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 296 and 298.

LCM(296,298) = 23×371×1491
LCM(296,298) = 44104

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 298

List of positive integer factors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Least Common Multiple of 296 and 298 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 298, than apply into the LCM equation.

GCF(296,298) = 2
LCM(296,298) = ( 296 × 298) / 2
LCM(296,298) = 88208 / 2
LCM(296,298) = 44104

Properties of LCM 296 and 298

(i) The LCM of 298 and 296 is associative

LCM of 296 and 298 = LCM of 298 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 298

Frequently Asked Questions on LCM of 296 and 298

1. What is the LCM of 296 and 298?

Answer: LCM of 296 and 298 is 44104.

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 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

4. How to Find the LCM of 296 and 298?

Answer:

Least Common Multiple of 296 and 298 = 44104

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 298

298 = 2 x 149

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

LCM = 44104 = 2 x 2 x 2 x 37 x 149

Step 4: Therefore, the least common multiple of 296 and 298 is 44104.