Least Common Multiple of 10218 and 10224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10218 and 10224 the smallest integer that is 17411472 that is divisible by both numbers.

Least Common Multiple (LCM) of 10218 and 10224 is 17411472.

LCM(10218,10224) = 17411472

LCM of 10218 and 10224

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

LCM of:
and

Least Common Multiple of 10218 and 10224

LCM of 10218 and 10224 is 17411472

Least common multiple can be found by multiplying the highest exponent prime factors of 10218 and 10224. First we will calculate the prime factors of 10218 and 10224.

Prime Factorization of 10218


2 10218
3 5109
13 1703
131 131
1

Prime factors of 10218 are 2, 3, 13,131. Prime factorization of 10218 in exponential form is:

10218 = 21×31×131×1311

Prime Factorization of 10224


2 10224
2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 10224 are 2, 3,71. Prime factorization of 10224 in exponential form is:

10224 = 24×32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 10218 and 10224.

LCM(10218,10224) = 24×32×131×711×1311
LCM(10218,10224) = 17411472

Factors of 10218

List of positive integer factors of 10218 that divides 10218 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218

Factors of 10224

List of positive integer factors of 10224 that divides 10224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224

Least Common Multiple of 10218 and 10224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10218 and 10224, than apply into the LCM equation.

GCF(10218,10224) = 6
LCM(10218,10224) = ( 10218 × 10224) / 6
LCM(10218,10224) = 104468832 / 6
LCM(10218,10224) = 17411472

Properties of LCM 10218 and 10224

(i) The LCM of 10224 and 10218 is associative

LCM of 10218 and 10224 = LCM of 10224 and 10218

Related Least Common Multiples of 10218

Related Least Common Multiples of 10224

Frequently Asked Questions on LCM of 10218 and 10224

1. What is the LCM of 10218 and 10224?

Answer: LCM of 10218 and 10224 is 17411472.

2. What are the Factors of 10218?

Answer: Factors of 10218 are 1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218. There are 16 integers that are factors of 10218. The greatest factor of 10218 is 10218.

3. What are the Factors of 10224?

Answer: Factors of 10224 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224. There are 30 integers that are factors of 10224. The greatest factor of 10224 is 10224.

4. How to Find the LCM of 10218 and 10224?

Answer:

Least Common Multiple of 10218 and 10224 = 17411472

Step 1: Find the prime factorization of 10218

10218 = 2 x 3 x 13 x 131

Step 2: Find the prime factorization of 10224

10224 = 2 x 2 x 2 x 2 x 3 x 3 x 71

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

LCM = 17411472 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 71 x 131

Step 4: Therefore, the least common multiple of 10218 and 10224 is 17411472.