Least Common Multiple of 302 and 310

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 310 the smallest integer that is 46810 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 310 is 46810.

LCM(302,310) = 46810

LCM of 302 and 310

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

LCM of:
and

Least Common Multiple of 302 and 310

LCM of 302 and 310 is 46810

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 310. First we will calculate the prime factors of 302 and 310.

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 310


2 310
5 155
31 31
1

Prime factors of 310 are 2, 5,31. Prime factorization of 310 in exponential form is:

310 = 21×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 302 and 310.

LCM(302,310) = 21×51×311×1511
LCM(302,310) = 46810

Factors of 302

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

1, 2, 151, 302

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Least Common Multiple of 302 and 310 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 310, than apply into the LCM equation.

GCF(302,310) = 2
LCM(302,310) = ( 302 × 310) / 2
LCM(302,310) = 93620 / 2
LCM(302,310) = 46810

Properties of LCM 302 and 310

(i) The LCM of 310 and 302 is associative

LCM of 302 and 310 = LCM of 310 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 310

Frequently Asked Questions on LCM of 302 and 310

1. What is the LCM of 302 and 310?

Answer: LCM of 302 and 310 is 46810.

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 310?

Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.

4. How to Find the LCM of 302 and 310?

Answer:

Least Common Multiple of 302 and 310 = 46810

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 310

310 = 2 x 5 x 31

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

LCM = 46810 = 2 x 5 x 31 x 151

Step 4: Therefore, the least common multiple of 302 and 310 is 46810.