Least Common Multiple of 16225 and 16232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16225 and 16232 the smallest integer that is 263364200 that is divisible by both numbers.

Least Common Multiple (LCM) of 16225 and 16232 is 263364200.

LCM(16225,16232) = 263364200

LCM of 16225 and 16232

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

LCM of:
and

Least Common Multiple of 16225 and 16232

LCM of 16225 and 16232 is 263364200

Least common multiple can be found by multiplying the highest exponent prime factors of 16225 and 16232. First we will calculate the prime factors of 16225 and 16232.

Prime Factorization of 16225


5 16225
5 3245
11 649
59 59
1

Prime factors of 16225 are 5, 11,59. Prime factorization of 16225 in exponential form is:

16225 = 52×111×591

Prime Factorization of 16232


2 16232
2 8116
2 4058
2029 2029
1

Prime factors of 16232 are 2,2029. Prime factorization of 16232 in exponential form is:

16232 = 23×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 16225 and 16232.

LCM(16225,16232) = 23×52×111×591×20291
LCM(16225,16232) = 263364200

Factors of 16225

List of positive integer factors of 16225 that divides 16225 without a remainder.

1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225

Factors of 16232

List of positive integer factors of 16232 that divides 16232 without a remainder.

1, 2, 4, 8, 2029, 4058, 8116, 16232

Least Common Multiple of 16225 and 16232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16225 and 16232, than apply into the LCM equation.

GCF(16225,16232) = 1
LCM(16225,16232) = ( 16225 × 16232) / 1
LCM(16225,16232) = 263364200 / 1
LCM(16225,16232) = 263364200

Properties of LCM 16225 and 16232

(i) The LCM of 16232 and 16225 is associative

LCM of 16225 and 16232 = LCM of 16232 and 16225

Related Least Common Multiples of 16225

Related Least Common Multiples of 16232

Frequently Asked Questions on LCM of 16225 and 16232

1. What is the LCM of 16225 and 16232?

Answer: LCM of 16225 and 16232 is 263364200.

2. What are the Factors of 16225?

Answer: Factors of 16225 are 1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225. There are 12 integers that are factors of 16225. The greatest factor of 16225 is 16225.

3. What are the Factors of 16232?

Answer: Factors of 16232 are 1, 2, 4, 8, 2029, 4058, 8116, 16232. There are 8 integers that are factors of 16232. The greatest factor of 16232 is 16232.

4. How to Find the LCM of 16225 and 16232?

Answer:

Least Common Multiple of 16225 and 16232 = 263364200

Step 1: Find the prime factorization of 16225

16225 = 5 x 5 x 11 x 59

Step 2: Find the prime factorization of 16232

16232 = 2 x 2 x 2 x 2029

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

LCM = 263364200 = 2 x 2 x 2 x 5 x 5 x 11 x 59 x 2029

Step 4: Therefore, the least common multiple of 16225 and 16232 is 263364200.