Least Common Multiple of 5224 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 5224 and 5232 the smallest integer that is 3416496 that is divisible by both numbers.

Least Common Multiple (LCM) of 5224 and 5232 is 3416496.

LCM(5224,5232) = 3416496

LCM of 5224 and 5232

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

LCM of:
and

Least Common Multiple of 5224 and 5232

LCM of 5224 and 5232 is 3416496

Least common multiple can be found by multiplying the highest exponent prime factors of 5224 and 5232. First we will calculate the prime factors of 5224 and 5232.

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 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 5224 and 5232.

LCM(5224,5232) = 24×31×1091×6531
LCM(5224,5232) = 3416496

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 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 5224 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 5224 and 5232, than apply into the LCM equation.

GCF(5224,5232) = 8
LCM(5224,5232) = ( 5224 × 5232) / 8
LCM(5224,5232) = 27331968 / 8
LCM(5224,5232) = 3416496

Properties of LCM 5224 and 5232

(i) The LCM of 5232 and 5224 is associative

LCM of 5224 and 5232 = LCM of 5232 and 5224

Related Least Common Multiples of 5224

Related Least Common Multiples of 5232

Frequently Asked Questions on LCM of 5224 and 5232

1. What is the LCM of 5224 and 5232?

Answer: LCM of 5224 and 5232 is 3416496.

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 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 5224 and 5232?

Answer:

Least Common Multiple of 5224 and 5232 = 3416496

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

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 = 3416496 = 2 x 2 x 2 x 2 x 3 x 109 x 653

Step 4: Therefore, the least common multiple of 5224 and 5232 is 3416496.