Least Common Multiple of 10217 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 10217 and 10224 the smallest integer that is 104458608 that is divisible by both numbers.

Least Common Multiple (LCM) of 10217 and 10224 is 104458608.

LCM(10217,10224) = 104458608

LCM of 10217 and 10224

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

LCM of:
and

Least Common Multiple of 10217 and 10224

LCM of 10217 and 10224 is 104458608

Least common multiple can be found by multiplying the highest exponent prime factors of 10217 and 10224. First we will calculate the prime factors of 10217 and 10224.

Prime Factorization of 10217


17 10217
601 601
1

Prime factors of 10217 are 17,601. Prime factorization of 10217 in exponential form is:

10217 = 171×6011

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 10217 and 10224.

LCM(10217,10224) = 24×32×171×711×6011
LCM(10217,10224) = 104458608

Factors of 10217

List of positive integer factors of 10217 that divides 10217 without a remainder.

1, 17, 601, 10217

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 10217 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 10217 and 10224, than apply into the LCM equation.

GCF(10217,10224) = 1
LCM(10217,10224) = ( 10217 × 10224) / 1
LCM(10217,10224) = 104458608 / 1
LCM(10217,10224) = 104458608

Properties of LCM 10217 and 10224

(i) The LCM of 10224 and 10217 is associative

LCM of 10217 and 10224 = LCM of 10224 and 10217

Related Least Common Multiples of 10217

Related Least Common Multiples of 10224

Frequently Asked Questions on LCM of 10217 and 10224

1. What is the LCM of 10217 and 10224?

Answer: LCM of 10217 and 10224 is 104458608.

2. What are the Factors of 10217?

Answer: Factors of 10217 are 1, 17, 601, 10217. There are 4 integers that are factors of 10217. The greatest factor of 10217 is 10217.

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 10217 and 10224?

Answer:

Least Common Multiple of 10217 and 10224 = 104458608

Step 1: Find the prime factorization of 10217

10217 = 17 x 601

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 = 104458608 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 71 x 601

Step 4: Therefore, the least common multiple of 10217 and 10224 is 104458608.