Least Common Multiple of 4225 and 4232

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 4232 the smallest integer that is 17880200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4225 and 4232 is 17880200.

LCM(4225,4232) = 17880200

LCM of 4225 and 4232

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

LCM of:
and

Least Common Multiple of 4225 and 4232

LCM of 4225 and 4232 is 17880200

Least common multiple can be found by multiplying the highest exponent prime factors of 4225 and 4232. First we will calculate the prime factors of 4225 and 4232.

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 4232


2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 4232 are 2,23. Prime factorization of 4232 in exponential form is:

4232 = 23×232

Now multiplying the highest exponent prime factors to calculate the LCM of 4225 and 4232.

LCM(4225,4232) = 23×52×132×232
LCM(4225,4232) = 17880200

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 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232

Least Common Multiple of 4225 and 4232 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 4232, than apply into the LCM equation.

GCF(4225,4232) = 1
LCM(4225,4232) = ( 4225 × 4232) / 1
LCM(4225,4232) = 17880200 / 1
LCM(4225,4232) = 17880200

Properties of LCM 4225 and 4232

(i) The LCM of 4232 and 4225 is associative

LCM of 4225 and 4232 = LCM of 4232 and 4225

Related Least Common Multiples of 4225

Related Least Common Multiples of 4232

Frequently Asked Questions on LCM of 4225 and 4232

1. What is the LCM of 4225 and 4232?

Answer: LCM of 4225 and 4232 is 17880200.

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 4232?

Answer: Factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232. There are 12 integers that are factors of 4232. The greatest factor of 4232 is 4232.

4. How to Find the LCM of 4225 and 4232?

Answer:

Least Common Multiple of 4225 and 4232 = 17880200

Step 1: Find the prime factorization of 4225

4225 = 5 x 5 x 13 x 13

Step 2: Find the prime factorization of 4232

4232 = 2 x 2 x 2 x 23 x 23

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

LCM = 17880200 = 2 x 2 x 2 x 5 x 5 x 13 x 13 x 23 x 23

Step 4: Therefore, the least common multiple of 4225 and 4232 is 17880200.