Least Common Multiple of 7310 and 7314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7310 and 7314 the smallest integer that is 26732670 that is divisible by both numbers.

Least Common Multiple (LCM) of 7310 and 7314 is 26732670.

LCM(7310,7314) = 26732670

LCM of 7310 and 7314

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

LCM of:
and

Least Common Multiple of 7310 and 7314

LCM of 7310 and 7314 is 26732670

Least common multiple can be found by multiplying the highest exponent prime factors of 7310 and 7314. First we will calculate the prime factors of 7310 and 7314.

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

Prime Factorization of 7314


2 7314
3 3657
23 1219
53 53
1

Prime factors of 7314 are 2, 3, 23,53. Prime factorization of 7314 in exponential form is:

7314 = 21×31×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7310 and 7314.

LCM(7310,7314) = 21×31×51×171×231×431×531
LCM(7310,7314) = 26732670

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

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314

Least Common Multiple of 7310 and 7314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7310 and 7314, than apply into the LCM equation.

GCF(7310,7314) = 2
LCM(7310,7314) = ( 7310 × 7314) / 2
LCM(7310,7314) = 53465340 / 2
LCM(7310,7314) = 26732670

Properties of LCM 7310 and 7314

(i) The LCM of 7314 and 7310 is associative

LCM of 7310 and 7314 = LCM of 7314 and 7310

Related Least Common Multiples of 7310

Related Least Common Multiples of 7314

Frequently Asked Questions on LCM of 7310 and 7314

1. What is the LCM of 7310 and 7314?

Answer: LCM of 7310 and 7314 is 26732670.

2. 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.

3. What are the Factors of 7314?

Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.

4. How to Find the LCM of 7310 and 7314?

Answer:

Least Common Multiple of 7310 and 7314 = 26732670

Step 1: Find the prime factorization of 7310

7310 = 2 x 5 x 17 x 43

Step 2: Find the prime factorization of 7314

7314 = 2 x 3 x 23 x 53

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

LCM = 26732670 = 2 x 3 x 5 x 17 x 23 x 43 x 53

Step 4: Therefore, the least common multiple of 7310 and 7314 is 26732670.