Least Common Multiple of 300 and 302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 300 and 302 the smallest integer that is 45300 that is divisible by both numbers.

Least Common Multiple (LCM) of 300 and 302 is 45300.

LCM(300,302) = 45300

LCM of 300 and 302

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

LCM of:
and

Least Common Multiple of 300 and 302

LCM of 300 and 302 is 45300

Least common multiple can be found by multiplying the highest exponent prime factors of 300 and 302. First we will calculate the prime factors of 300 and 302.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 300 and 302.

LCM(300,302) = 22×31×52×1511
LCM(300,302) = 45300

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

Factors of 302

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

1, 2, 151, 302

Least Common Multiple of 300 and 302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 300 and 302, than apply into the LCM equation.

GCF(300,302) = 2
LCM(300,302) = ( 300 × 302) / 2
LCM(300,302) = 90600 / 2
LCM(300,302) = 45300

Properties of LCM 300 and 302

(i) The LCM of 302 and 300 is associative

LCM of 300 and 302 = LCM of 302 and 300

Related Least Common Multiples of 300

Related Least Common Multiples of 302

Frequently Asked Questions on LCM of 300 and 302

1. What is the LCM of 300 and 302?

Answer: LCM of 300 and 302 is 45300.

2. 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.

3. 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.

4. How to Find the LCM of 300 and 302?

Answer:

Least Common Multiple of 300 and 302 = 45300

Step 1: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 302

302 = 2 x 151

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

LCM = 45300 = 2 x 2 x 3 x 5 x 5 x 151

Step 4: Therefore, the least common multiple of 300 and 302 is 45300.