Least Common Multiple of 5217 and 5225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5217 and 5225 the smallest integer that is 27258825 that is divisible by both numbers.

Least Common Multiple (LCM) of 5217 and 5225 is 27258825.

LCM(5217,5225) = 27258825

LCM of 5217 and 5225

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

LCM of:
and

Least Common Multiple of 5217 and 5225

LCM of 5217 and 5225 is 27258825

Least common multiple can be found by multiplying the highest exponent prime factors of 5217 and 5225. First we will calculate the prime factors of 5217 and 5225.

Prime Factorization of 5217


3 5217
37 1739
47 47
1

Prime factors of 5217 are 3, 37,47. Prime factorization of 5217 in exponential form is:

5217 = 31×371×471

Prime Factorization of 5225


5 5225
5 1045
11 209
19 19
1

Prime factors of 5225 are 5, 11,19. Prime factorization of 5225 in exponential form is:

5225 = 52×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5217 and 5225.

LCM(5217,5225) = 31×52×111×191×371×471
LCM(5217,5225) = 27258825

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1, 3, 37, 47, 111, 141, 1739, 5217

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225

Least Common Multiple of 5217 and 5225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5217 and 5225, than apply into the LCM equation.

GCF(5217,5225) = 1
LCM(5217,5225) = ( 5217 × 5225) / 1
LCM(5217,5225) = 27258825 / 1
LCM(5217,5225) = 27258825

Properties of LCM 5217 and 5225

(i) The LCM of 5225 and 5217 is associative

LCM of 5217 and 5225 = LCM of 5225 and 5217

Related Least Common Multiples of 5217

Related Least Common Multiples of 5225

Frequently Asked Questions on LCM of 5217 and 5225

1. What is the LCM of 5217 and 5225?

Answer: LCM of 5217 and 5225 is 27258825.

2. What are the Factors of 5217?

Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.

3. What are the Factors of 5225?

Answer: Factors of 5225 are 1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225. There are 12 integers that are factors of 5225. The greatest factor of 5225 is 5225.

4. How to Find the LCM of 5217 and 5225?

Answer:

Least Common Multiple of 5217 and 5225 = 27258825

Step 1: Find the prime factorization of 5217

5217 = 3 x 37 x 47

Step 2: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

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

LCM = 27258825 = 3 x 5 x 5 x 11 x 19 x 37 x 47

Step 4: Therefore, the least common multiple of 5217 and 5225 is 27258825.