Least Common Multiple of 7286 and 7290

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 7290 the smallest integer that is 26557470 that is divisible by both numbers.

Least Common Multiple (LCM) of 7286 and 7290 is 26557470.

LCM(7286,7290) = 26557470

LCM of 7286 and 7290

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

LCM of:
and

Least Common Multiple of 7286 and 7290

LCM of 7286 and 7290 is 26557470

Least common multiple can be found by multiplying the highest exponent prime factors of 7286 and 7290. First we will calculate the prime factors of 7286 and 7290.

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 7290


2 7290
3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 7290 are 2, 3,5. Prime factorization of 7290 in exponential form is:

7290 = 21×36×51

Now multiplying the highest exponent prime factors to calculate the LCM of 7286 and 7290.

LCM(7286,7290) = 21×36×51×36431
LCM(7286,7290) = 26557470

Factors of 7286

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

1, 2, 3643, 7286

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290

Least Common Multiple of 7286 and 7290 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 7290, than apply into the LCM equation.

GCF(7286,7290) = 2
LCM(7286,7290) = ( 7286 × 7290) / 2
LCM(7286,7290) = 53114940 / 2
LCM(7286,7290) = 26557470

Properties of LCM 7286 and 7290

(i) The LCM of 7290 and 7286 is associative

LCM of 7286 and 7290 = LCM of 7290 and 7286

Related Least Common Multiples of 7286

Related Least Common Multiples of 7290

Frequently Asked Questions on LCM of 7286 and 7290

1. What is the LCM of 7286 and 7290?

Answer: LCM of 7286 and 7290 is 26557470.

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 7290?

Answer: Factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290. There are 28 integers that are factors of 7290. The greatest factor of 7290 is 7290.

4. How to Find the LCM of 7286 and 7290?

Answer:

Least Common Multiple of 7286 and 7290 = 26557470

Step 1: Find the prime factorization of 7286

7286 = 2 x 3643

Step 2: Find the prime factorization of 7290

7290 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 26557470 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 3643

Step 4: Therefore, the least common multiple of 7286 and 7290 is 26557470.