Least Common Multiple of 7282 and 7288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7282 and 7288 the smallest integer that is 26535608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7282 and 7288 is 26535608.

LCM(7282,7288) = 26535608

LCM of 7282 and 7288

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

LCM of:
and

Least Common Multiple of 7282 and 7288

LCM of 7282 and 7288 is 26535608

Least common multiple can be found by multiplying the highest exponent prime factors of 7282 and 7288. First we will calculate the prime factors of 7282 and 7288.

Prime Factorization of 7282


2 7282
11 3641
331 331
1

Prime factors of 7282 are 2, 11,331. Prime factorization of 7282 in exponential form is:

7282 = 21×111×3311

Prime Factorization of 7288


2 7288
2 3644
2 1822
911 911
1

Prime factors of 7288 are 2,911. Prime factorization of 7288 in exponential form is:

7288 = 23×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 7282 and 7288.

LCM(7282,7288) = 23×111×3311×9111
LCM(7282,7288) = 26535608

Factors of 7282

List of positive integer factors of 7282 that divides 7282 without a remainder.

1, 2, 11, 22, 331, 662, 3641, 7282

Factors of 7288

List of positive integer factors of 7288 that divides 7288 without a remainder.

1, 2, 4, 8, 911, 1822, 3644, 7288

Least Common Multiple of 7282 and 7288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7282 and 7288, than apply into the LCM equation.

GCF(7282,7288) = 2
LCM(7282,7288) = ( 7282 × 7288) / 2
LCM(7282,7288) = 53071216 / 2
LCM(7282,7288) = 26535608

Properties of LCM 7282 and 7288

(i) The LCM of 7288 and 7282 is associative

LCM of 7282 and 7288 = LCM of 7288 and 7282

Related Least Common Multiples of 7282

Related Least Common Multiples of 7288

Frequently Asked Questions on LCM of 7282 and 7288

1. What is the LCM of 7282 and 7288?

Answer: LCM of 7282 and 7288 is 26535608.

2. What are the Factors of 7282?

Answer: Factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282. There are 8 integers that are factors of 7282. The greatest factor of 7282 is 7282.

3. What are the Factors of 7288?

Answer: Factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288. There are 8 integers that are factors of 7288. The greatest factor of 7288 is 7288.

4. How to Find the LCM of 7282 and 7288?

Answer:

Least Common Multiple of 7282 and 7288 = 26535608

Step 1: Find the prime factorization of 7282

7282 = 2 x 11 x 331

Step 2: Find the prime factorization of 7288

7288 = 2 x 2 x 2 x 911

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

LCM = 26535608 = 2 x 2 x 2 x 11 x 331 x 911

Step 4: Therefore, the least common multiple of 7282 and 7288 is 26535608.