Least Common Multiple of 7208 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 7208 and 7215 the smallest integer that is 52005720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7208 and 7215 is 52005720.

LCM(7208,7215) = 52005720

LCM of 7208 and 7215

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

LCM of:
and

Least Common Multiple of 7208 and 7215

LCM of 7208 and 7215 is 52005720

Least common multiple can be found by multiplying the highest exponent prime factors of 7208 and 7215. First we will calculate the prime factors of 7208 and 7215.

Prime Factorization of 7208


2 7208
2 3604
2 1802
17 901
53 53
1

Prime factors of 7208 are 2, 17,53. Prime factorization of 7208 in exponential form is:

7208 = 23×171×531

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 7208 and 7215.

LCM(7208,7215) = 23×31×51×131×171×371×531
LCM(7208,7215) = 52005720

Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208

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 7208 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 7208 and 7215, than apply into the LCM equation.

GCF(7208,7215) = 1
LCM(7208,7215) = ( 7208 × 7215) / 1
LCM(7208,7215) = 52005720 / 1
LCM(7208,7215) = 52005720

Properties of LCM 7208 and 7215

(i) The LCM of 7215 and 7208 is associative

LCM of 7208 and 7215 = LCM of 7215 and 7208

Related Least Common Multiples of 7208

Related Least Common Multiples of 7215

Frequently Asked Questions on LCM of 7208 and 7215

1. What is the LCM of 7208 and 7215?

Answer: LCM of 7208 and 7215 is 52005720.

2. What are the Factors of 7208?

Answer: Factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208. There are 16 integers that are factors of 7208. The greatest factor of 7208 is 7208.

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 7208 and 7215?

Answer:

Least Common Multiple of 7208 and 7215 = 52005720

Step 1: Find the prime factorization of 7208

7208 = 2 x 2 x 2 x 17 x 53

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 = 52005720 = 2 x 2 x 2 x 3 x 5 x 13 x 17 x 37 x 53

Step 4: Therefore, the least common multiple of 7208 and 7215 is 52005720.