Least Common Multiple of 302 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 302 and 303 the smallest integer that is 91506 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 303 is 91506.

LCM(302,303) = 91506

LCM of 302 and 303

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

LCM of:
and

Least Common Multiple of 302 and 303

LCM of 302 and 303 is 91506

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 303. First we will calculate the prime factors of 302 and 303.

Prime Factorization of 302


2 302
151 151
1

Prime factors of 302 are 2,151. Prime factorization of 302 in exponential form is:

302 = 21×1511

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 302 and 303.

LCM(302,303) = 21×31×1011×1511
LCM(302,303) = 91506

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Factors of 303

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

1, 3, 101, 303

Least Common Multiple of 302 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 302 and 303, than apply into the LCM equation.

GCF(302,303) = 1
LCM(302,303) = ( 302 × 303) / 1
LCM(302,303) = 91506 / 1
LCM(302,303) = 91506

Properties of LCM 302 and 303

(i) The LCM of 303 and 302 is associative

LCM of 302 and 303 = LCM of 303 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 302 and 303

1. What is the LCM of 302 and 303?

Answer: LCM of 302 and 303 is 91506.

2. What are the Factors of 302?

Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.

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 302 and 303?

Answer:

Least Common Multiple of 302 and 303 = 91506

Step 1: Find the prime factorization of 302

302 = 2 x 151

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 = 91506 = 2 x 3 x 101 x 151

Step 4: Therefore, the least common multiple of 302 and 303 is 91506.