Least Common Multiple of 7302 and 7310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7302 and 7310 the smallest integer that is 26688810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7302 and 7310 is 26688810.

LCM(7302,7310) = 26688810

LCM of 7302 and 7310

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

LCM of:
and

Least Common Multiple of 7302 and 7310

LCM of 7302 and 7310 is 26688810

Least common multiple can be found by multiplying the highest exponent prime factors of 7302 and 7310. First we will calculate the prime factors of 7302 and 7310.

Prime Factorization of 7302


2 7302
3 3651
1217 1217
1

Prime factors of 7302 are 2, 3,1217. Prime factorization of 7302 in exponential form is:

7302 = 21×31×12171

Prime Factorization of 7310


2 7310
5 3655
17 731
43 43
1

Prime factors of 7310 are 2, 5, 17,43. Prime factorization of 7310 in exponential form is:

7310 = 21×51×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7302 and 7310.

LCM(7302,7310) = 21×31×51×171×431×12171
LCM(7302,7310) = 26688810

Factors of 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1, 2, 3, 6, 1217, 2434, 3651, 7302

Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310

Least Common Multiple of 7302 and 7310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7302 and 7310, than apply into the LCM equation.

GCF(7302,7310) = 2
LCM(7302,7310) = ( 7302 × 7310) / 2
LCM(7302,7310) = 53377620 / 2
LCM(7302,7310) = 26688810

Properties of LCM 7302 and 7310

(i) The LCM of 7310 and 7302 is associative

LCM of 7302 and 7310 = LCM of 7310 and 7302

Related Least Common Multiples of 7302

Related Least Common Multiples of 7310

Frequently Asked Questions on LCM of 7302 and 7310

1. What is the LCM of 7302 and 7310?

Answer: LCM of 7302 and 7310 is 26688810.

2. What are the Factors of 7302?

Answer: Factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302. There are 8 integers that are factors of 7302. The greatest factor of 7302 is 7302.

3. What are the Factors of 7310?

Answer: Factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310. There are 16 integers that are factors of 7310. The greatest factor of 7310 is 7310.

4. How to Find the LCM of 7302 and 7310?

Answer:

Least Common Multiple of 7302 and 7310 = 26688810

Step 1: Find the prime factorization of 7302

7302 = 2 x 3 x 1217

Step 2: Find the prime factorization of 7310

7310 = 2 x 5 x 17 x 43

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

LCM = 26688810 = 2 x 3 x 5 x 17 x 43 x 1217

Step 4: Therefore, the least common multiple of 7302 and 7310 is 26688810.