Least Common Multiple of 16217 and 16225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16217 and 16225 the smallest integer that is 263120825 that is divisible by both numbers.

Least Common Multiple (LCM) of 16217 and 16225 is 263120825.

LCM(16217,16225) = 263120825

LCM of 16217 and 16225

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

LCM of:
and

Least Common Multiple of 16217 and 16225

LCM of 16217 and 16225 is 263120825

Least common multiple can be found by multiplying the highest exponent prime factors of 16217 and 16225. First we will calculate the prime factors of 16217 and 16225.

Prime Factorization of 16217


16217 16217
1

Prime factors of 16217 are 16217. Prime factorization of 16217 in exponential form is:

16217 = 162171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16217 and 16225.

LCM(16217,16225) = 52×111×591×162171
LCM(16217,16225) = 263120825

Factors of 16217

List of positive integer factors of 16217 that divides 16217 without a remainder.

1, 16217

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

Least Common Multiple of 16217 and 16225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16217 and 16225, than apply into the LCM equation.

GCF(16217,16225) = 1
LCM(16217,16225) = ( 16217 × 16225) / 1
LCM(16217,16225) = 263120825 / 1
LCM(16217,16225) = 263120825

Properties of LCM 16217 and 16225

(i) The LCM of 16225 and 16217 is associative

LCM of 16217 and 16225 = LCM of 16225 and 16217

Related Least Common Multiples of 16217

Related Least Common Multiples of 16225

Frequently Asked Questions on LCM of 16217 and 16225

1. What is the LCM of 16217 and 16225?

Answer: LCM of 16217 and 16225 is 263120825.

2. What are the Factors of 16217?

Answer: Factors of 16217 are 1, 16217. There are 2 integers that are factors of 16217. The greatest factor of 16217 is 16217.

3. 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.

4. How to Find the LCM of 16217 and 16225?

Answer:

Least Common Multiple of 16217 and 16225 = 263120825

Step 1: Find the prime factorization of 16217

16217 = 16217

Step 2: Find the prime factorization of 16225

16225 = 5 x 5 x 11 x 59

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

LCM = 263120825 = 5 x 5 x 11 x 59 x 16217

Step 4: Therefore, the least common multiple of 16217 and 16225 is 263120825.