Least Common Multiple of 5217 and 5220

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 5220 the smallest integer that is 9077580 that is divisible by both numbers.

Least Common Multiple (LCM) of 5217 and 5220 is 9077580.

LCM(5217,5220) = 9077580

LCM of 5217 and 5220

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

LCM of:
and

Least Common Multiple of 5217 and 5220

LCM of 5217 and 5220 is 9077580

Least common multiple can be found by multiplying the highest exponent prime factors of 5217 and 5220. First we will calculate the prime factors of 5217 and 5220.

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 5220


2 5220
2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 5220 are 2, 3, 5,29. Prime factorization of 5220 in exponential form is:

5220 = 22×32×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5217 and 5220.

LCM(5217,5220) = 22×32×51×291×371×471
LCM(5217,5220) = 9077580

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 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220

Least Common Multiple of 5217 and 5220 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 5220, than apply into the LCM equation.

GCF(5217,5220) = 3
LCM(5217,5220) = ( 5217 × 5220) / 3
LCM(5217,5220) = 27232740 / 3
LCM(5217,5220) = 9077580

Properties of LCM 5217 and 5220

(i) The LCM of 5220 and 5217 is associative

LCM of 5217 and 5220 = LCM of 5220 and 5217

Related Least Common Multiples of 5217

Related Least Common Multiples of 5220

Frequently Asked Questions on LCM of 5217 and 5220

1. What is the LCM of 5217 and 5220?

Answer: LCM of 5217 and 5220 is 9077580.

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 5220?

Answer: Factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220. There are 36 integers that are factors of 5220. The greatest factor of 5220 is 5220.

4. How to Find the LCM of 5217 and 5220?

Answer:

Least Common Multiple of 5217 and 5220 = 9077580

Step 1: Find the prime factorization of 5217

5217 = 3 x 37 x 47

Step 2: Find the prime factorization of 5220

5220 = 2 x 2 x 3 x 3 x 5 x 29

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

LCM = 9077580 = 2 x 2 x 3 x 3 x 5 x 29 x 37 x 47

Step 4: Therefore, the least common multiple of 5217 and 5220 is 9077580.