Least Common Multiple of 5220 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 5220 and 5225 the smallest integer that is 5454900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5220 and 5225 is 5454900.

LCM(5220,5225) = 5454900

LCM of 5220 and 5225

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

LCM of:
and

Least Common Multiple of 5220 and 5225

LCM of 5220 and 5225 is 5454900

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5225. First we will calculate the prime factors of 5220 and 5225.

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 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 5220 and 5225.

LCM(5220,5225) = 22×32×52×111×191×291
LCM(5220,5225) = 5454900

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 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 5220 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 5220 and 5225, than apply into the LCM equation.

GCF(5220,5225) = 5
LCM(5220,5225) = ( 5220 × 5225) / 5
LCM(5220,5225) = 27274500 / 5
LCM(5220,5225) = 5454900

Properties of LCM 5220 and 5225

(i) The LCM of 5225 and 5220 is associative

LCM of 5220 and 5225 = LCM of 5225 and 5220

Related Least Common Multiples of 5220

Related Least Common Multiples of 5225

Frequently Asked Questions on LCM of 5220 and 5225

1. What is the LCM of 5220 and 5225?

Answer: LCM of 5220 and 5225 is 5454900.

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 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 5220 and 5225?

Answer:

Least Common Multiple of 5220 and 5225 = 5454900

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 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 = 5454900 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 5220 and 5225 is 5454900.