Least Common Multiple of 5225 and 5229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5225 and 5229 the smallest integer that is 27321525 that is divisible by both numbers.

Least Common Multiple (LCM) of 5225 and 5229 is 27321525.

LCM(5225,5229) = 27321525

LCM of 5225 and 5229

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

LCM of:
and

Least Common Multiple of 5225 and 5229

LCM of 5225 and 5229 is 27321525

Least common multiple can be found by multiplying the highest exponent prime factors of 5225 and 5229. First we will calculate the prime factors of 5225 and 5229.

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

Prime Factorization of 5229


3 5229
3 1743
7 581
83 83
1

Prime factors of 5229 are 3, 7,83. Prime factorization of 5229 in exponential form is:

5229 = 32×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5225 and 5229.

LCM(5225,5229) = 32×52×71×111×191×831
LCM(5225,5229) = 27321525

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

Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229

Least Common Multiple of 5225 and 5229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5225 and 5229, than apply into the LCM equation.

GCF(5225,5229) = 1
LCM(5225,5229) = ( 5225 × 5229) / 1
LCM(5225,5229) = 27321525 / 1
LCM(5225,5229) = 27321525

Properties of LCM 5225 and 5229

(i) The LCM of 5229 and 5225 is associative

LCM of 5225 and 5229 = LCM of 5229 and 5225

Related Least Common Multiples of 5225

Related Least Common Multiples of 5229

Frequently Asked Questions on LCM of 5225 and 5229

1. What is the LCM of 5225 and 5229?

Answer: LCM of 5225 and 5229 is 27321525.

2. 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.

3. What are the Factors of 5229?

Answer: Factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229. There are 12 integers that are factors of 5229. The greatest factor of 5229 is 5229.

4. How to Find the LCM of 5225 and 5229?

Answer:

Least Common Multiple of 5225 and 5229 = 27321525

Step 1: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

Step 2: Find the prime factorization of 5229

5229 = 3 x 3 x 7 x 83

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

LCM = 27321525 = 3 x 3 x 5 x 5 x 7 x 11 x 19 x 83

Step 4: Therefore, the least common multiple of 5225 and 5229 is 27321525.