Least Common Multiple of 12220 and 12224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12220 and 12224 the smallest integer that is 37344320 that is divisible by both numbers.

Least Common Multiple (LCM) of 12220 and 12224 is 37344320.

LCM(12220,12224) = 37344320

LCM of 12220 and 12224

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

LCM of:
and

Least Common Multiple of 12220 and 12224

LCM of 12220 and 12224 is 37344320

Least common multiple can be found by multiplying the highest exponent prime factors of 12220 and 12224. First we will calculate the prime factors of 12220 and 12224.

Prime Factorization of 12220


2 12220
2 6110
5 3055
13 611
47 47
1

Prime factors of 12220 are 2, 5, 13,47. Prime factorization of 12220 in exponential form is:

12220 = 22×51×131×471

Prime Factorization of 12224


2 12224
2 6112
2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 12224 are 2,191. Prime factorization of 12224 in exponential form is:

12224 = 26×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 12220 and 12224.

LCM(12220,12224) = 26×51×131×471×1911
LCM(12220,12224) = 37344320

Factors of 12220

List of positive integer factors of 12220 that divides 12220 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 47, 52, 65, 94, 130, 188, 235, 260, 470, 611, 940, 1222, 2444, 3055, 6110, 12220

Factors of 12224

List of positive integer factors of 12224 that divides 12224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 191, 382, 764, 1528, 3056, 6112, 12224

Least Common Multiple of 12220 and 12224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12220 and 12224, than apply into the LCM equation.

GCF(12220,12224) = 4
LCM(12220,12224) = ( 12220 × 12224) / 4
LCM(12220,12224) = 149377280 / 4
LCM(12220,12224) = 37344320

Properties of LCM 12220 and 12224

(i) The LCM of 12224 and 12220 is associative

LCM of 12220 and 12224 = LCM of 12224 and 12220

Related Least Common Multiples of 12220

Related Least Common Multiples of 12224

Frequently Asked Questions on LCM of 12220 and 12224

1. What is the LCM of 12220 and 12224?

Answer: LCM of 12220 and 12224 is 37344320.

2. What are the Factors of 12220?

Answer: Factors of 12220 are 1, 2, 4, 5, 10, 13, 20, 26, 47, 52, 65, 94, 130, 188, 235, 260, 470, 611, 940, 1222, 2444, 3055, 6110, 12220. There are 24 integers that are factors of 12220. The greatest factor of 12220 is 12220.

3. What are the Factors of 12224?

Answer: Factors of 12224 are 1, 2, 4, 8, 16, 32, 64, 191, 382, 764, 1528, 3056, 6112, 12224. There are 14 integers that are factors of 12224. The greatest factor of 12224 is 12224.

4. How to Find the LCM of 12220 and 12224?

Answer:

Least Common Multiple of 12220 and 12224 = 37344320

Step 1: Find the prime factorization of 12220

12220 = 2 x 2 x 5 x 13 x 47

Step 2: Find the prime factorization of 12224

12224 = 2 x 2 x 2 x 2 x 2 x 2 x 191

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

LCM = 37344320 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 47 x 191

Step 4: Therefore, the least common multiple of 12220 and 12224 is 37344320.