Least Common Multiple of 7306 and 7312

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 7312 the smallest integer that is 26710736 that is divisible by both numbers.

Least Common Multiple (LCM) of 7306 and 7312 is 26710736.

LCM(7306,7312) = 26710736

LCM of 7306 and 7312

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

LCM of:
and

Least Common Multiple of 7306 and 7312

LCM of 7306 and 7312 is 26710736

Least common multiple can be found by multiplying the highest exponent prime factors of 7306 and 7312. First we will calculate the prime factors of 7306 and 7312.

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 7312


2 7312
2 3656
2 1828
2 914
457 457
1

Prime factors of 7312 are 2,457. Prime factorization of 7312 in exponential form is:

7312 = 24×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 7306 and 7312.

LCM(7306,7312) = 24×131×2811×4571
LCM(7306,7312) = 26710736

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 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312

Least Common Multiple of 7306 and 7312 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 7312, than apply into the LCM equation.

GCF(7306,7312) = 2
LCM(7306,7312) = ( 7306 × 7312) / 2
LCM(7306,7312) = 53421472 / 2
LCM(7306,7312) = 26710736

Properties of LCM 7306 and 7312

(i) The LCM of 7312 and 7306 is associative

LCM of 7306 and 7312 = LCM of 7312 and 7306

Related Least Common Multiples of 7306

Related Least Common Multiples of 7312

Frequently Asked Questions on LCM of 7306 and 7312

1. What is the LCM of 7306 and 7312?

Answer: LCM of 7306 and 7312 is 26710736.

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 7312?

Answer: Factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312. There are 10 integers that are factors of 7312. The greatest factor of 7312 is 7312.

4. How to Find the LCM of 7306 and 7312?

Answer:

Least Common Multiple of 7306 and 7312 = 26710736

Step 1: Find the prime factorization of 7306

7306 = 2 x 13 x 281

Step 2: Find the prime factorization of 7312

7312 = 2 x 2 x 2 x 2 x 457

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

LCM = 26710736 = 2 x 2 x 2 x 2 x 13 x 281 x 457

Step 4: Therefore, the least common multiple of 7306 and 7312 is 26710736.