Least Common Multiple of 2224 and 2232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2224 and 2232 the smallest integer that is 620496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2224 and 2232 is 620496.

LCM(2224,2232) = 620496

LCM of 2224 and 2232

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

LCM of:
and

Least Common Multiple of 2224 and 2232

LCM of 2224 and 2232 is 620496

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2232. First we will calculate the prime factors of 2224 and 2232.

Prime Factorization of 2224


2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 2224 are 2,139. Prime factorization of 2224 in exponential form is:

2224 = 24×1391

Prime Factorization of 2232


2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 2232 are 2, 3,31. Prime factorization of 2232 in exponential form is:

2232 = 23×32×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2232.

LCM(2224,2232) = 24×32×311×1391
LCM(2224,2232) = 620496

Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232

Least Common Multiple of 2224 and 2232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2224 and 2232, than apply into the LCM equation.

GCF(2224,2232) = 8
LCM(2224,2232) = ( 2224 × 2232) / 8
LCM(2224,2232) = 4963968 / 8
LCM(2224,2232) = 620496

Properties of LCM 2224 and 2232

(i) The LCM of 2232 and 2224 is associative

LCM of 2224 and 2232 = LCM of 2232 and 2224

Related Least Common Multiples of 2224

Related Least Common Multiples of 2232

Frequently Asked Questions on LCM of 2224 and 2232

1. What is the LCM of 2224 and 2232?

Answer: LCM of 2224 and 2232 is 620496.

2. What are the Factors of 2224?

Answer: Factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224. There are 10 integers that are factors of 2224. The greatest factor of 2224 is 2224.

3. What are the Factors of 2232?

Answer: Factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232. There are 24 integers that are factors of 2232. The greatest factor of 2232 is 2232.

4. How to Find the LCM of 2224 and 2232?

Answer:

Least Common Multiple of 2224 and 2232 = 620496

Step 1: Find the prime factorization of 2224

2224 = 2 x 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 2232

2232 = 2 x 2 x 2 x 3 x 3 x 31

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

LCM = 620496 = 2 x 2 x 2 x 2 x 3 x 3 x 31 x 139

Step 4: Therefore, the least common multiple of 2224 and 2232 is 620496.