Least Common Multiple of 7225 and 7229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7225 and 7229 the smallest integer that is 52229525 that is divisible by both numbers.

Least Common Multiple (LCM) of 7225 and 7229 is 52229525.

LCM(7225,7229) = 52229525

LCM of 7225 and 7229

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

LCM of:
and

Least Common Multiple of 7225 and 7229

LCM of 7225 and 7229 is 52229525

Least common multiple can be found by multiplying the highest exponent prime factors of 7225 and 7229. First we will calculate the prime factors of 7225 and 7229.

Prime Factorization of 7225


5 7225
5 1445
17 289
17 17
1

Prime factors of 7225 are 5,17. Prime factorization of 7225 in exponential form is:

7225 = 52×172

Prime Factorization of 7229


7229 7229
1

Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:

7229 = 72291

Now multiplying the highest exponent prime factors to calculate the LCM of 7225 and 7229.

LCM(7225,7229) = 52×172×72291
LCM(7225,7229) = 52229525

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1, 5, 17, 25, 85, 289, 425, 1445, 7225

Factors of 7229

List of positive integer factors of 7229 that divides 7229 without a remainder.

1, 7229

Least Common Multiple of 7225 and 7229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7225 and 7229, than apply into the LCM equation.

GCF(7225,7229) = 1
LCM(7225,7229) = ( 7225 × 7229) / 1
LCM(7225,7229) = 52229525 / 1
LCM(7225,7229) = 52229525

Properties of LCM 7225 and 7229

(i) The LCM of 7229 and 7225 is associative

LCM of 7225 and 7229 = LCM of 7229 and 7225

Related Least Common Multiples of 7225

Related Least Common Multiples of 7229

Frequently Asked Questions on LCM of 7225 and 7229

1. What is the LCM of 7225 and 7229?

Answer: LCM of 7225 and 7229 is 52229525.

2. What are the Factors of 7225?

Answer: Factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. There are 9 integers that are factors of 7225. The greatest factor of 7225 is 7225.

3. What are the Factors of 7229?

Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.

4. How to Find the LCM of 7225 and 7229?

Answer:

Least Common Multiple of 7225 and 7229 = 52229525

Step 1: Find the prime factorization of 7225

7225 = 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 7229

7229 = 7229

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

LCM = 52229525 = 5 x 5 x 17 x 17 x 7229

Step 4: Therefore, the least common multiple of 7225 and 7229 is 52229525.