Least Common Multiple of 7283 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 7283 and 7289 the smallest integer that is 53085787 that is divisible by both numbers.

Least Common Multiple (LCM) of 7283 and 7289 is 53085787.

LCM(7283,7289) = 53085787

LCM of 7283 and 7289

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

LCM of:
and

Least Common Multiple of 7283 and 7289

LCM of 7283 and 7289 is 53085787

Least common multiple can be found by multiplying the highest exponent prime factors of 7283 and 7289. First we will calculate the prime factors of 7283 and 7289.

Prime Factorization of 7283


7283 7283
1

Prime factors of 7283 are 7283. Prime factorization of 7283 in exponential form is:

7283 = 72831

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 7283 and 7289.

LCM(7283,7289) = 371×1971×72831
LCM(7283,7289) = 53085787

Factors of 7283

List of positive integer factors of 7283 that divides 7283 without a remainder.

1, 7283

Factors of 7289

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

1, 37, 197, 7289

Least Common Multiple of 7283 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 7283 and 7289, than apply into the LCM equation.

GCF(7283,7289) = 1
LCM(7283,7289) = ( 7283 × 7289) / 1
LCM(7283,7289) = 53085787 / 1
LCM(7283,7289) = 53085787

Properties of LCM 7283 and 7289

(i) The LCM of 7289 and 7283 is associative

LCM of 7283 and 7289 = LCM of 7289 and 7283

Related Least Common Multiples of 7283

Related Least Common Multiples of 7289

Frequently Asked Questions on LCM of 7283 and 7289

1. What is the LCM of 7283 and 7289?

Answer: LCM of 7283 and 7289 is 53085787.

2. What are the Factors of 7283?

Answer: Factors of 7283 are 1, 7283. There are 2 integers that are factors of 7283. The greatest factor of 7283 is 7283.

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 7283 and 7289?

Answer:

Least Common Multiple of 7283 and 7289 = 53085787

Step 1: Find the prime factorization of 7283

7283 = 7283

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 = 53085787 = 37 x 197 x 7283

Step 4: Therefore, the least common multiple of 7283 and 7289 is 53085787.