Least Common Multiple of 3224 and 3232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3224 and 3232 the smallest integer that is 1302496 that is divisible by both numbers.

Least Common Multiple (LCM) of 3224 and 3232 is 1302496.

LCM(3224,3232) = 1302496

LCM of 3224 and 3232

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

LCM of:
and

Least Common Multiple of 3224 and 3232

LCM of 3224 and 3232 is 1302496

Least common multiple can be found by multiplying the highest exponent prime factors of 3224 and 3232. First we will calculate the prime factors of 3224 and 3232.

Prime Factorization of 3224


2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 3224 are 2, 13,31. Prime factorization of 3224 in exponential form is:

3224 = 23×131×311

Prime Factorization of 3232


2 3232
2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 3232 are 2,101. Prime factorization of 3232 in exponential form is:

3232 = 25×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3224 and 3232.

LCM(3224,3232) = 25×131×311×1011
LCM(3224,3232) = 1302496

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224

Factors of 3232

List of positive integer factors of 3232 that divides 3232 without a remainder.

1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232

Least Common Multiple of 3224 and 3232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3224 and 3232, than apply into the LCM equation.

GCF(3224,3232) = 8
LCM(3224,3232) = ( 3224 × 3232) / 8
LCM(3224,3232) = 10419968 / 8
LCM(3224,3232) = 1302496

Properties of LCM 3224 and 3232

(i) The LCM of 3232 and 3224 is associative

LCM of 3224 and 3232 = LCM of 3232 and 3224

Related Least Common Multiples of 3224

Related Least Common Multiples of 3232

Frequently Asked Questions on LCM of 3224 and 3232

1. What is the LCM of 3224 and 3232?

Answer: LCM of 3224 and 3232 is 1302496.

2. What are the Factors of 3224?

Answer: Factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224. There are 16 integers that are factors of 3224. The greatest factor of 3224 is 3224.

3. What are the Factors of 3232?

Answer: Factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232. There are 12 integers that are factors of 3232. The greatest factor of 3232 is 3232.

4. How to Find the LCM of 3224 and 3232?

Answer:

Least Common Multiple of 3224 and 3232 = 1302496

Step 1: Find the prime factorization of 3224

3224 = 2 x 2 x 2 x 13 x 31

Step 2: Find the prime factorization of 3232

3232 = 2 x 2 x 2 x 2 x 2 x 101

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

LCM = 1302496 = 2 x 2 x 2 x 2 x 2 x 13 x 31 x 101

Step 4: Therefore, the least common multiple of 3224 and 3232 is 1302496.