Least Common Multiple of 5225 and 5232

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 5232 the smallest integer that is 27337200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5225 and 5232 is 27337200.

LCM(5225,5232) = 27337200

LCM of 5225 and 5232

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

LCM of:
and

Least Common Multiple of 5225 and 5232

LCM of 5225 and 5232 is 27337200

Least common multiple can be found by multiplying the highest exponent prime factors of 5225 and 5232. First we will calculate the prime factors of 5225 and 5232.

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 5232


2 5232
2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 5232 are 2, 3,109. Prime factorization of 5232 in exponential form is:

5232 = 24×31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5225 and 5232.

LCM(5225,5232) = 24×31×52×111×191×1091
LCM(5225,5232) = 27337200

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 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232

Least Common Multiple of 5225 and 5232 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 5232, than apply into the LCM equation.

GCF(5225,5232) = 1
LCM(5225,5232) = ( 5225 × 5232) / 1
LCM(5225,5232) = 27337200 / 1
LCM(5225,5232) = 27337200

Properties of LCM 5225 and 5232

(i) The LCM of 5232 and 5225 is associative

LCM of 5225 and 5232 = LCM of 5232 and 5225

Related Least Common Multiples of 5225

Related Least Common Multiples of 5232

Frequently Asked Questions on LCM of 5225 and 5232

1. What is the LCM of 5225 and 5232?

Answer: LCM of 5225 and 5232 is 27337200.

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 5232?

Answer: Factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232. There are 20 integers that are factors of 5232. The greatest factor of 5232 is 5232.

4. How to Find the LCM of 5225 and 5232?

Answer:

Least Common Multiple of 5225 and 5232 = 27337200

Step 1: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

Step 2: Find the prime factorization of 5232

5232 = 2 x 2 x 2 x 2 x 3 x 109

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

LCM = 27337200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 19 x 109

Step 4: Therefore, the least common multiple of 5225 and 5232 is 27337200.