Least Common Multiple of 7278 and 7286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7278 and 7286 the smallest integer that is 26513754 that is divisible by both numbers.

Least Common Multiple (LCM) of 7278 and 7286 is 26513754.

LCM(7278,7286) = 26513754

LCM of 7278 and 7286

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

LCM of:
and

Least Common Multiple of 7278 and 7286

LCM of 7278 and 7286 is 26513754

Least common multiple can be found by multiplying the highest exponent prime factors of 7278 and 7286. First we will calculate the prime factors of 7278 and 7286.

Prime Factorization of 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2, 3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7278 and 7286.

LCM(7278,7286) = 21×31×12131×36431
LCM(7278,7286) = 26513754

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639, 7278

Factors of 7286

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

1, 2, 3643, 7286

Least Common Multiple of 7278 and 7286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7278 and 7286, than apply into the LCM equation.

GCF(7278,7286) = 2
LCM(7278,7286) = ( 7278 × 7286) / 2
LCM(7278,7286) = 53027508 / 2
LCM(7278,7286) = 26513754

Properties of LCM 7278 and 7286

(i) The LCM of 7286 and 7278 is associative

LCM of 7278 and 7286 = LCM of 7286 and 7278

Related Least Common Multiples of 7278

Related Least Common Multiples of 7286

Frequently Asked Questions on LCM of 7278 and 7286

1. What is the LCM of 7278 and 7286?

Answer: LCM of 7278 and 7286 is 26513754.

2. What are the Factors of 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

3. 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.

4. How to Find the LCM of 7278 and 7286?

Answer:

Least Common Multiple of 7278 and 7286 = 26513754

Step 1: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

Step 2: Find the prime factorization of 7286

7286 = 2 x 3643

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

LCM = 26513754 = 2 x 3 x 1213 x 3643

Step 4: Therefore, the least common multiple of 7278 and 7286 is 26513754.