Least Common Multiple of 7225 and 7232

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 7232 the smallest integer that is 52251200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7225 and 7232 is 52251200.

LCM(7225,7232) = 52251200

LCM of 7225 and 7232

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

LCM of:
and

Least Common Multiple of 7225 and 7232

LCM of 7225 and 7232 is 52251200

Least common multiple can be found by multiplying the highest exponent prime factors of 7225 and 7232. First we will calculate the prime factors of 7225 and 7232.

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 7232


2 7232
2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 7232 are 2,113. Prime factorization of 7232 in exponential form is:

7232 = 26×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7225 and 7232.

LCM(7225,7232) = 26×52×172×1131
LCM(7225,7232) = 52251200

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 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232

Least Common Multiple of 7225 and 7232 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 7232, than apply into the LCM equation.

GCF(7225,7232) = 1
LCM(7225,7232) = ( 7225 × 7232) / 1
LCM(7225,7232) = 52251200 / 1
LCM(7225,7232) = 52251200

Properties of LCM 7225 and 7232

(i) The LCM of 7232 and 7225 is associative

LCM of 7225 and 7232 = LCM of 7232 and 7225

Related Least Common Multiples of 7225

Related Least Common Multiples of 7232

Frequently Asked Questions on LCM of 7225 and 7232

1. What is the LCM of 7225 and 7232?

Answer: LCM of 7225 and 7232 is 52251200.

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 7232?

Answer: Factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232. There are 14 integers that are factors of 7232. The greatest factor of 7232 is 7232.

4. How to Find the LCM of 7225 and 7232?

Answer:

Least Common Multiple of 7225 and 7232 = 52251200

Step 1: Find the prime factorization of 7225

7225 = 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 7232

7232 = 2 x 2 x 2 x 2 x 2 x 2 x 113

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

LCM = 52251200 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 17 x 113

Step 4: Therefore, the least common multiple of 7225 and 7232 is 52251200.