Least Common Multiple of 5220 and 5226

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 5226 the smallest integer that is 4546620 that is divisible by both numbers.

Least Common Multiple (LCM) of 5220 and 5226 is 4546620.

LCM(5220,5226) = 4546620

LCM of 5220 and 5226

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

LCM of:
and

Least Common Multiple of 5220 and 5226

LCM of 5220 and 5226 is 4546620

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5226. First we will calculate the prime factors of 5220 and 5226.

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 5226


2 5226
3 2613
13 871
67 67
1

Prime factors of 5226 are 2, 3, 13,67. Prime factorization of 5226 in exponential form is:

5226 = 21×31×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5220 and 5226.

LCM(5220,5226) = 22×32×51×131×291×671
LCM(5220,5226) = 4546620

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 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226

Least Common Multiple of 5220 and 5226 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 5226, than apply into the LCM equation.

GCF(5220,5226) = 6
LCM(5220,5226) = ( 5220 × 5226) / 6
LCM(5220,5226) = 27279720 / 6
LCM(5220,5226) = 4546620

Properties of LCM 5220 and 5226

(i) The LCM of 5226 and 5220 is associative

LCM of 5220 and 5226 = LCM of 5226 and 5220

Related Least Common Multiples of 5220

Related Least Common Multiples of 5226

Frequently Asked Questions on LCM of 5220 and 5226

1. What is the LCM of 5220 and 5226?

Answer: LCM of 5220 and 5226 is 4546620.

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 5226?

Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.

4. How to Find the LCM of 5220 and 5226?

Answer:

Least Common Multiple of 5220 and 5226 = 4546620

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 5226

5226 = 2 x 3 x 13 x 67

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

LCM = 4546620 = 2 x 2 x 3 x 3 x 5 x 13 x 29 x 67

Step 4: Therefore, the least common multiple of 5220 and 5226 is 4546620.