Least Common Multiple of 7209 and 7215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7209 and 7215 the smallest integer that is 17337645 that is divisible by both numbers.

Least Common Multiple (LCM) of 7209 and 7215 is 17337645.

LCM(7209,7215) = 17337645

LCM of 7209 and 7215

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

LCM of:
and

Least Common Multiple of 7209 and 7215

LCM of 7209 and 7215 is 17337645

Least common multiple can be found by multiplying the highest exponent prime factors of 7209 and 7215. First we will calculate the prime factors of 7209 and 7215.

Prime Factorization of 7209


3 7209
3 2403
3 801
3 267
89 89
1

Prime factors of 7209 are 3,89. Prime factorization of 7209 in exponential form is:

7209 = 34×891

Prime Factorization of 7215


3 7215
5 2405
13 481
37 37
1

Prime factors of 7215 are 3, 5, 13,37. Prime factorization of 7215 in exponential form is:

7215 = 31×51×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7209 and 7215.

LCM(7209,7215) = 34×51×131×371×891
LCM(7209,7215) = 17337645

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215

Least Common Multiple of 7209 and 7215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7209 and 7215, than apply into the LCM equation.

GCF(7209,7215) = 3
LCM(7209,7215) = ( 7209 × 7215) / 3
LCM(7209,7215) = 52012935 / 3
LCM(7209,7215) = 17337645

Properties of LCM 7209 and 7215

(i) The LCM of 7215 and 7209 is associative

LCM of 7209 and 7215 = LCM of 7215 and 7209

Related Least Common Multiples of 7209

Related Least Common Multiples of 7215

Frequently Asked Questions on LCM of 7209 and 7215

1. What is the LCM of 7209 and 7215?

Answer: LCM of 7209 and 7215 is 17337645.

2. What are the Factors of 7209?

Answer: Factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209. There are 10 integers that are factors of 7209. The greatest factor of 7209 is 7209.

3. What are the Factors of 7215?

Answer: Factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215. There are 16 integers that are factors of 7215. The greatest factor of 7215 is 7215.

4. How to Find the LCM of 7209 and 7215?

Answer:

Least Common Multiple of 7209 and 7215 = 17337645

Step 1: Find the prime factorization of 7209

7209 = 3 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 7215

7215 = 3 x 5 x 13 x 37

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

LCM = 17337645 = 3 x 3 x 3 x 3 x 5 x 13 x 37 x 89

Step 4: Therefore, the least common multiple of 7209 and 7215 is 17337645.