Least Common Multiple of 7286 and 7289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7286 and 7289 the smallest integer that is 53107654 that is divisible by both numbers.

Least Common Multiple (LCM) of 7286 and 7289 is 53107654.

LCM(7286,7289) = 53107654

LCM of 7286 and 7289

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

LCM of:
and

Least Common Multiple of 7286 and 7289

LCM of 7286 and 7289 is 53107654

Least common multiple can be found by multiplying the highest exponent prime factors of 7286 and 7289. First we will calculate the prime factors of 7286 and 7289.

Prime Factorization of 7286


2 7286
3643 3643
1

Prime factors of 7286 are 2,3643. Prime factorization of 7286 in exponential form is:

7286 = 21×36431

Prime Factorization of 7289


37 7289
197 197
1

Prime factors of 7289 are 37,197. Prime factorization of 7289 in exponential form is:

7289 = 371×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7286 and 7289.

LCM(7286,7289) = 21×371×1971×36431
LCM(7286,7289) = 53107654

Factors of 7286

List of positive integer factors of 7286 that divides 7286 without a remainder.

1, 2, 3643, 7286

Factors of 7289

List of positive integer factors of 7289 that divides 7289 without a remainder.

1, 37, 197, 7289

Least Common Multiple of 7286 and 7289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7286 and 7289, than apply into the LCM equation.

GCF(7286,7289) = 1
LCM(7286,7289) = ( 7286 × 7289) / 1
LCM(7286,7289) = 53107654 / 1
LCM(7286,7289) = 53107654

Properties of LCM 7286 and 7289

(i) The LCM of 7289 and 7286 is associative

LCM of 7286 and 7289 = LCM of 7289 and 7286

Related Least Common Multiples of 7286

Related Least Common Multiples of 7289

Frequently Asked Questions on LCM of 7286 and 7289

1. What is the LCM of 7286 and 7289?

Answer: LCM of 7286 and 7289 is 53107654.

2. What are the Factors of 7286?

Answer: Factors of 7286 are 1, 2, 3643, 7286. There are 4 integers that are factors of 7286. The greatest factor of 7286 is 7286.

3. What are the Factors of 7289?

Answer: Factors of 7289 are 1, 37, 197, 7289. There are 4 integers that are factors of 7289. The greatest factor of 7289 is 7289.

4. How to Find the LCM of 7286 and 7289?

Answer:

Least Common Multiple of 7286 and 7289 = 53107654

Step 1: Find the prime factorization of 7286

7286 = 2 x 3643

Step 2: Find the prime factorization of 7289

7289 = 37 x 197

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

LCM = 53107654 = 2 x 37 x 197 x 3643

Step 4: Therefore, the least common multiple of 7286 and 7289 is 53107654.