Least Common Multiple of 7289 and 7297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7289 and 7297 the smallest integer that is 53187833 that is divisible by both numbers.

Least Common Multiple (LCM) of 7289 and 7297 is 53187833.

LCM(7289,7297) = 53187833

LCM of 7289 and 7297

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

LCM of:
and

Least Common Multiple of 7289 and 7297

LCM of 7289 and 7297 is 53187833

Least common multiple can be found by multiplying the highest exponent prime factors of 7289 and 7297. First we will calculate the prime factors of 7289 and 7297.

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

Prime Factorization of 7297


7297 7297
1

Prime factors of 7297 are 7297. Prime factorization of 7297 in exponential form is:

7297 = 72971

Now multiplying the highest exponent prime factors to calculate the LCM of 7289 and 7297.

LCM(7289,7297) = 371×1971×72971
LCM(7289,7297) = 53187833

Factors of 7289

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

1, 37, 197, 7289

Factors of 7297

List of positive integer factors of 7297 that divides 7297 without a remainder.

1, 7297

Least Common Multiple of 7289 and 7297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7289 and 7297, than apply into the LCM equation.

GCF(7289,7297) = 1
LCM(7289,7297) = ( 7289 × 7297) / 1
LCM(7289,7297) = 53187833 / 1
LCM(7289,7297) = 53187833

Properties of LCM 7289 and 7297

(i) The LCM of 7297 and 7289 is associative

LCM of 7289 and 7297 = LCM of 7297 and 7289

Related Least Common Multiples of 7289

Related Least Common Multiples of 7297

Frequently Asked Questions on LCM of 7289 and 7297

1. What is the LCM of 7289 and 7297?

Answer: LCM of 7289 and 7297 is 53187833.

2. 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.

3. What are the Factors of 7297?

Answer: Factors of 7297 are 1, 7297. There are 2 integers that are factors of 7297. The greatest factor of 7297 is 7297.

4. How to Find the LCM of 7289 and 7297?

Answer:

Least Common Multiple of 7289 and 7297 = 53187833

Step 1: Find the prime factorization of 7289

7289 = 37 x 197

Step 2: Find the prime factorization of 7297

7297 = 7297

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

LCM = 53187833 = 37 x 197 x 7297

Step 4: Therefore, the least common multiple of 7289 and 7297 is 53187833.