Least Common Multiple of 302 and 305

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 305 the smallest integer that is 92110 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 305 is 92110.

LCM(302,305) = 92110

LCM of 302 and 305

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

LCM of:
and

Least Common Multiple of 302 and 305

LCM of 302 and 305 is 92110

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 305. First we will calculate the prime factors of 302 and 305.

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 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 302 and 305.

LCM(302,305) = 21×51×611×1511
LCM(302,305) = 92110

Factors of 302

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

1, 2, 151, 302

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Least Common Multiple of 302 and 305 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 305, than apply into the LCM equation.

GCF(302,305) = 1
LCM(302,305) = ( 302 × 305) / 1
LCM(302,305) = 92110 / 1
LCM(302,305) = 92110

Properties of LCM 302 and 305

(i) The LCM of 305 and 302 is associative

LCM of 302 and 305 = LCM of 305 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 305

Frequently Asked Questions on LCM of 302 and 305

1. What is the LCM of 302 and 305?

Answer: LCM of 302 and 305 is 92110.

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 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

4. How to Find the LCM of 302 and 305?

Answer:

Least Common Multiple of 302 and 305 = 92110

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 305

305 = 5 x 61

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

LCM = 92110 = 2 x 5 x 61 x 151

Step 4: Therefore, the least common multiple of 302 and 305 is 92110.