Least Common Multiple of 5225 and 5233

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 5233 the smallest integer that is 27342425 that is divisible by both numbers.

Least Common Multiple (LCM) of 5225 and 5233 is 27342425.

LCM(5225,5233) = 27342425

LCM of 5225 and 5233

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

LCM of:
and

Least Common Multiple of 5225 and 5233

LCM of 5225 and 5233 is 27342425

Least common multiple can be found by multiplying the highest exponent prime factors of 5225 and 5233. First we will calculate the prime factors of 5225 and 5233.

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 5233


5233 5233
1

Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:

5233 = 52331

Now multiplying the highest exponent prime factors to calculate the LCM of 5225 and 5233.

LCM(5225,5233) = 52×111×191×52331
LCM(5225,5233) = 27342425

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 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1, 5233

Least Common Multiple of 5225 and 5233 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 5233, than apply into the LCM equation.

GCF(5225,5233) = 1
LCM(5225,5233) = ( 5225 × 5233) / 1
LCM(5225,5233) = 27342425 / 1
LCM(5225,5233) = 27342425

Properties of LCM 5225 and 5233

(i) The LCM of 5233 and 5225 is associative

LCM of 5225 and 5233 = LCM of 5233 and 5225

Related Least Common Multiples of 5225

Related Least Common Multiples of 5233

Frequently Asked Questions on LCM of 5225 and 5233

1. What is the LCM of 5225 and 5233?

Answer: LCM of 5225 and 5233 is 27342425.

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 5233?

Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.

4. How to Find the LCM of 5225 and 5233?

Answer:

Least Common Multiple of 5225 and 5233 = 27342425

Step 1: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

Step 2: Find the prime factorization of 5233

5233 = 5233

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

LCM = 27342425 = 5 x 5 x 11 x 19 x 5233

Step 4: Therefore, the least common multiple of 5225 and 5233 is 27342425.