Least Common Multiple of 7306 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 7306 and 7314 the smallest integer that is 26718042 that is divisible by both numbers.

Least Common Multiple (LCM) of 7306 and 7314 is 26718042.

LCM(7306,7314) = 26718042

LCM of 7306 and 7314

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

LCM of:
and

Least Common Multiple of 7306 and 7314

LCM of 7306 and 7314 is 26718042

Least common multiple can be found by multiplying the highest exponent prime factors of 7306 and 7314. First we will calculate the prime factors of 7306 and 7314.

Prime Factorization of 7306


2 7306
13 3653
281 281
1

Prime factors of 7306 are 2, 13,281. Prime factorization of 7306 in exponential form is:

7306 = 21×131×2811

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 7306 and 7314.

LCM(7306,7314) = 21×31×131×231×531×2811
LCM(7306,7314) = 26718042

Factors of 7306

List of positive integer factors of 7306 that divides 7306 without a remainder.

1, 2, 13, 26, 281, 562, 3653, 7306

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 7306 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 7306 and 7314, than apply into the LCM equation.

GCF(7306,7314) = 2
LCM(7306,7314) = ( 7306 × 7314) / 2
LCM(7306,7314) = 53436084 / 2
LCM(7306,7314) = 26718042

Properties of LCM 7306 and 7314

(i) The LCM of 7314 and 7306 is associative

LCM of 7306 and 7314 = LCM of 7314 and 7306

Related Least Common Multiples of 7306

Related Least Common Multiples of 7314

Frequently Asked Questions on LCM of 7306 and 7314

1. What is the LCM of 7306 and 7314?

Answer: LCM of 7306 and 7314 is 26718042.

2. What are the Factors of 7306?

Answer: Factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306. There are 8 integers that are factors of 7306. The greatest factor of 7306 is 7306.

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 7306 and 7314?

Answer:

Least Common Multiple of 7306 and 7314 = 26718042

Step 1: Find the prime factorization of 7306

7306 = 2 x 13 x 281

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 = 26718042 = 2 x 3 x 13 x 23 x 53 x 281

Step 4: Therefore, the least common multiple of 7306 and 7314 is 26718042.