Least Common Multiple of 5220 and 5221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5220 and 5221 the smallest integer that is 27253620 that is divisible by both numbers.

Least Common Multiple (LCM) of 5220 and 5221 is 27253620.

LCM(5220,5221) = 27253620

LCM of 5220 and 5221

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

LCM of:
and

Least Common Multiple of 5220 and 5221

LCM of 5220 and 5221 is 27253620

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5221. First we will calculate the prime factors of 5220 and 5221.

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

Prime Factorization of 5221


23 5221
227 227
1

Prime factors of 5221 are 23,227. Prime factorization of 5221 in exponential form is:

5221 = 231×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 5220 and 5221.

LCM(5220,5221) = 22×32×51×231×291×2271
LCM(5220,5221) = 27253620

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

Factors of 5221

List of positive integer factors of 5221 that divides 5221 without a remainder.

1, 23, 227, 5221

Least Common Multiple of 5220 and 5221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5220 and 5221, than apply into the LCM equation.

GCF(5220,5221) = 1
LCM(5220,5221) = ( 5220 × 5221) / 1
LCM(5220,5221) = 27253620 / 1
LCM(5220,5221) = 27253620

Properties of LCM 5220 and 5221

(i) The LCM of 5221 and 5220 is associative

LCM of 5220 and 5221 = LCM of 5221 and 5220

Related Least Common Multiples of 5220

Related Least Common Multiples of 5221

Frequently Asked Questions on LCM of 5220 and 5221

1. What is the LCM of 5220 and 5221?

Answer: LCM of 5220 and 5221 is 27253620.

2. 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.

3. What are the Factors of 5221?

Answer: Factors of 5221 are 1, 23, 227, 5221. There are 4 integers that are factors of 5221. The greatest factor of 5221 is 5221.

4. How to Find the LCM of 5220 and 5221?

Answer:

Least Common Multiple of 5220 and 5221 = 27253620

Step 1: Find the prime factorization of 5220

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

Step 2: Find the prime factorization of 5221

5221 = 23 x 227

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

LCM = 27253620 = 2 x 2 x 3 x 3 x 5 x 23 x 29 x 227

Step 4: Therefore, the least common multiple of 5220 and 5221 is 27253620.