Least Common Multiple of 296 and 300

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 300 the smallest integer that is 22200 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 300 is 22200.

LCM(296,300) = 22200

LCM of 296 and 300

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

LCM of:
and

Least Common Multiple of 296 and 300

LCM of 296 and 300 is 22200

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 300. First we will calculate the prime factors of 296 and 300.

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 300


2 300
2 150
3 75
5 25
5 5
1

Prime factors of 300 are 2, 3,5. Prime factorization of 300 in exponential form is:

300 = 22×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 296 and 300.

LCM(296,300) = 23×31×52×371
LCM(296,300) = 22200

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 300

List of positive integer factors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Least Common Multiple of 296 and 300 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 300, than apply into the LCM equation.

GCF(296,300) = 4
LCM(296,300) = ( 296 × 300) / 4
LCM(296,300) = 88800 / 4
LCM(296,300) = 22200

Properties of LCM 296 and 300

(i) The LCM of 300 and 296 is associative

LCM of 296 and 300 = LCM of 300 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 300

Frequently Asked Questions on LCM of 296 and 300

1. What is the LCM of 296 and 300?

Answer: LCM of 296 and 300 is 22200.

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 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

4. How to Find the LCM of 296 and 300?

Answer:

Least Common Multiple of 296 and 300 = 22200

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

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

LCM = 22200 = 2 x 2 x 2 x 3 x 5 x 5 x 37

Step 4: Therefore, the least common multiple of 296 and 300 is 22200.