Least Common Multiple of 296 and 303

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 303 the smallest integer that is 89688 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 303 is 89688.

LCM(296,303) = 89688

LCM of 296 and 303

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

LCM of:
and

Least Common Multiple of 296 and 303

LCM of 296 and 303 is 89688

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 303. First we will calculate the prime factors of 296 and 303.

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 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 296 and 303.

LCM(296,303) = 23×31×371×1011
LCM(296,303) = 89688

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 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Least Common Multiple of 296 and 303 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 303, than apply into the LCM equation.

GCF(296,303) = 1
LCM(296,303) = ( 296 × 303) / 1
LCM(296,303) = 89688 / 1
LCM(296,303) = 89688

Properties of LCM 296 and 303

(i) The LCM of 303 and 296 is associative

LCM of 296 and 303 = LCM of 303 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 296 and 303

1. What is the LCM of 296 and 303?

Answer: LCM of 296 and 303 is 89688.

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 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the LCM of 296 and 303?

Answer:

Least Common Multiple of 296 and 303 = 89688

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 303

303 = 3 x 101

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

LCM = 89688 = 2 x 2 x 2 x 3 x 37 x 101

Step 4: Therefore, the least common multiple of 296 and 303 is 89688.