Least Common Multiple of 4225 and 4228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4225 and 4228 the smallest integer that is 17863300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4225 and 4228 is 17863300.

LCM(4225,4228) = 17863300

LCM of 4225 and 4228

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

LCM of:
and

Least Common Multiple of 4225 and 4228

LCM of 4225 and 4228 is 17863300

Least common multiple can be found by multiplying the highest exponent prime factors of 4225 and 4228. First we will calculate the prime factors of 4225 and 4228.

Prime Factorization of 4225


5 4225
5 845
13 169
13 13
1

Prime factors of 4225 are 5,13. Prime factorization of 4225 in exponential form is:

4225 = 52×132

Prime Factorization of 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2, 7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4225 and 4228.

LCM(4225,4228) = 22×52×71×132×1511
LCM(4225,4228) = 17863300

Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845, 4225

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228

Least Common Multiple of 4225 and 4228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4225 and 4228, than apply into the LCM equation.

GCF(4225,4228) = 1
LCM(4225,4228) = ( 4225 × 4228) / 1
LCM(4225,4228) = 17863300 / 1
LCM(4225,4228) = 17863300

Properties of LCM 4225 and 4228

(i) The LCM of 4228 and 4225 is associative

LCM of 4225 and 4228 = LCM of 4228 and 4225

Related Least Common Multiples of 4225

Related Least Common Multiples of 4228

Frequently Asked Questions on LCM of 4225 and 4228

1. What is the LCM of 4225 and 4228?

Answer: LCM of 4225 and 4228 is 17863300.

2. What are the Factors of 4225?

Answer: Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225. There are 9 integers that are factors of 4225. The greatest factor of 4225 is 4225.

3. What are the Factors of 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

4. How to Find the LCM of 4225 and 4228?

Answer:

Least Common Multiple of 4225 and 4228 = 17863300

Step 1: Find the prime factorization of 4225

4225 = 5 x 5 x 13 x 13

Step 2: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

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

LCM = 17863300 = 2 x 2 x 5 x 5 x 7 x 13 x 13 x 151

Step 4: Therefore, the least common multiple of 4225 and 4228 is 17863300.