Least Common Multiple of 5224 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 5224 and 5225 the smallest integer that is 27295400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5224 and 5225 is 27295400.

LCM(5224,5225) = 27295400

LCM of 5224 and 5225

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

LCM of:
and

Least Common Multiple of 5224 and 5225

LCM of 5224 and 5225 is 27295400

Least common multiple can be found by multiplying the highest exponent prime factors of 5224 and 5225. First we will calculate the prime factors of 5224 and 5225.

Prime Factorization of 5224


2 5224
2 2612
2 1306
653 653
1

Prime factors of 5224 are 2,653. Prime factorization of 5224 in exponential form is:

5224 = 23×6531

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 5224 and 5225.

LCM(5224,5225) = 23×52×111×191×6531
LCM(5224,5225) = 27295400

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1, 2, 4, 8, 653, 1306, 2612, 5224

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 5224 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 5224 and 5225, than apply into the LCM equation.

GCF(5224,5225) = 1
LCM(5224,5225) = ( 5224 × 5225) / 1
LCM(5224,5225) = 27295400 / 1
LCM(5224,5225) = 27295400

Properties of LCM 5224 and 5225

(i) The LCM of 5225 and 5224 is associative

LCM of 5224 and 5225 = LCM of 5225 and 5224

Related Least Common Multiples of 5224

Related Least Common Multiples of 5225

Frequently Asked Questions on LCM of 5224 and 5225

1. What is the LCM of 5224 and 5225?

Answer: LCM of 5224 and 5225 is 27295400.

2. What are the Factors of 5224?

Answer: Factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224. There are 8 integers that are factors of 5224. The greatest factor of 5224 is 5224.

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 5224 and 5225?

Answer:

Least Common Multiple of 5224 and 5225 = 27295400

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

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 = 27295400 = 2 x 2 x 2 x 5 x 5 x 11 x 19 x 653

Step 4: Therefore, the least common multiple of 5224 and 5225 is 27295400.