Least Common Multiple of 7282 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 7282 and 7290 the smallest integer that is 26542890 that is divisible by both numbers.

Least Common Multiple (LCM) of 7282 and 7290 is 26542890.

LCM(7282,7290) = 26542890

LCM of 7282 and 7290

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

LCM of:
and

Least Common Multiple of 7282 and 7290

LCM of 7282 and 7290 is 26542890

Least common multiple can be found by multiplying the highest exponent prime factors of 7282 and 7290. First we will calculate the prime factors of 7282 and 7290.

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 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 7282 and 7290.

LCM(7282,7290) = 21×36×51×111×3311
LCM(7282,7290) = 26542890

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 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 7282 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 7282 and 7290, than apply into the LCM equation.

GCF(7282,7290) = 2
LCM(7282,7290) = ( 7282 × 7290) / 2
LCM(7282,7290) = 53085780 / 2
LCM(7282,7290) = 26542890

Properties of LCM 7282 and 7290

(i) The LCM of 7290 and 7282 is associative

LCM of 7282 and 7290 = LCM of 7290 and 7282

Related Least Common Multiples of 7282

Related Least Common Multiples of 7290

Frequently Asked Questions on LCM of 7282 and 7290

1. What is the LCM of 7282 and 7290?

Answer: LCM of 7282 and 7290 is 26542890.

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 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 7282 and 7290?

Answer:

Least Common Multiple of 7282 and 7290 = 26542890

Step 1: Find the prime factorization of 7282

7282 = 2 x 11 x 331

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 = 26542890 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 331

Step 4: Therefore, the least common multiple of 7282 and 7290 is 26542890.