Least Common Multiple of 7289 and 7294

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 7294 the smallest integer that is 53165966 that is divisible by both numbers.

Least Common Multiple (LCM) of 7289 and 7294 is 53165966.

LCM(7289,7294) = 53165966

LCM of 7289 and 7294

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

LCM of:
and

Least Common Multiple of 7289 and 7294

LCM of 7289 and 7294 is 53165966

Least common multiple can be found by multiplying the highest exponent prime factors of 7289 and 7294. First we will calculate the prime factors of 7289 and 7294.

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 7294


2 7294
7 3647
521 521
1

Prime factors of 7294 are 2, 7,521. Prime factorization of 7294 in exponential form is:

7294 = 21×71×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 7289 and 7294.

LCM(7289,7294) = 21×71×371×1971×5211
LCM(7289,7294) = 53165966

Factors of 7289

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

1, 37, 197, 7289

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1, 2, 7, 14, 521, 1042, 3647, 7294

Least Common Multiple of 7289 and 7294 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 7294, than apply into the LCM equation.

GCF(7289,7294) = 1
LCM(7289,7294) = ( 7289 × 7294) / 1
LCM(7289,7294) = 53165966 / 1
LCM(7289,7294) = 53165966

Properties of LCM 7289 and 7294

(i) The LCM of 7294 and 7289 is associative

LCM of 7289 and 7294 = LCM of 7294 and 7289

Related Least Common Multiples of 7289

Related Least Common Multiples of 7294

Frequently Asked Questions on LCM of 7289 and 7294

1. What is the LCM of 7289 and 7294?

Answer: LCM of 7289 and 7294 is 53165966.

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 7294?

Answer: Factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294. There are 8 integers that are factors of 7294. The greatest factor of 7294 is 7294.

4. How to Find the LCM of 7289 and 7294?

Answer:

Least Common Multiple of 7289 and 7294 = 53165966

Step 1: Find the prime factorization of 7289

7289 = 37 x 197

Step 2: Find the prime factorization of 7294

7294 = 2 x 7 x 521

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

LCM = 53165966 = 2 x 7 x 37 x 197 x 521

Step 4: Therefore, the least common multiple of 7289 and 7294 is 53165966.