Least Common Multiple of 7225 and 7228

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 7228 the smallest integer that is 52222300 that is divisible by both numbers.

Least Common Multiple (LCM) of 7225 and 7228 is 52222300.

LCM(7225,7228) = 52222300

LCM of 7225 and 7228

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

LCM of:
and

Least Common Multiple of 7225 and 7228

LCM of 7225 and 7228 is 52222300

Least common multiple can be found by multiplying the highest exponent prime factors of 7225 and 7228. First we will calculate the prime factors of 7225 and 7228.

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 7228


2 7228
2 3614
13 1807
139 139
1

Prime factors of 7228 are 2, 13,139. Prime factorization of 7228 in exponential form is:

7228 = 22×131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7225 and 7228.

LCM(7225,7228) = 22×52×131×172×1391
LCM(7225,7228) = 52222300

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 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228

Least Common Multiple of 7225 and 7228 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 7228, than apply into the LCM equation.

GCF(7225,7228) = 1
LCM(7225,7228) = ( 7225 × 7228) / 1
LCM(7225,7228) = 52222300 / 1
LCM(7225,7228) = 52222300

Properties of LCM 7225 and 7228

(i) The LCM of 7228 and 7225 is associative

LCM of 7225 and 7228 = LCM of 7228 and 7225

Related Least Common Multiples of 7225

Related Least Common Multiples of 7228

Frequently Asked Questions on LCM of 7225 and 7228

1. What is the LCM of 7225 and 7228?

Answer: LCM of 7225 and 7228 is 52222300.

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 7228?

Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.

4. How to Find the LCM of 7225 and 7228?

Answer:

Least Common Multiple of 7225 and 7228 = 52222300

Step 1: Find the prime factorization of 7225

7225 = 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

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

LCM = 52222300 = 2 x 2 x 5 x 5 x 13 x 17 x 17 x 139

Step 4: Therefore, the least common multiple of 7225 and 7228 is 52222300.