Least Common Multiple of 5226 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 5226 and 5232 the smallest integer that is 4557072 that is divisible by both numbers.

Least Common Multiple (LCM) of 5226 and 5232 is 4557072.

LCM(5226,5232) = 4557072

LCM of 5226 and 5232

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

LCM of:
and

Least Common Multiple of 5226 and 5232

LCM of 5226 and 5232 is 4557072

Least common multiple can be found by multiplying the highest exponent prime factors of 5226 and 5232. First we will calculate the prime factors of 5226 and 5232.

Prime Factorization of 5226


2 5226
3 2613
13 871
67 67
1

Prime factors of 5226 are 2, 3, 13,67. Prime factorization of 5226 in exponential form is:

5226 = 21×31×131×671

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 5226 and 5232.

LCM(5226,5232) = 24×31×131×671×1091
LCM(5226,5232) = 4557072

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226

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 5226 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 5226 and 5232, than apply into the LCM equation.

GCF(5226,5232) = 6
LCM(5226,5232) = ( 5226 × 5232) / 6
LCM(5226,5232) = 27342432 / 6
LCM(5226,5232) = 4557072

Properties of LCM 5226 and 5232

(i) The LCM of 5232 and 5226 is associative

LCM of 5226 and 5232 = LCM of 5232 and 5226

Related Least Common Multiples of 5226

Related Least Common Multiples of 5232

Frequently Asked Questions on LCM of 5226 and 5232

1. What is the LCM of 5226 and 5232?

Answer: LCM of 5226 and 5232 is 4557072.

2. What are the Factors of 5226?

Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.

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 5226 and 5232?

Answer:

Least Common Multiple of 5226 and 5232 = 4557072

Step 1: Find the prime factorization of 5226

5226 = 2 x 3 x 13 x 67

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 = 4557072 = 2 x 2 x 2 x 2 x 3 x 13 x 67 x 109

Step 4: Therefore, the least common multiple of 5226 and 5232 is 4557072.