Least Common Multiple of 15217 and 15223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15217 and 15223 the smallest integer that is 231648391 that is divisible by both numbers.

Least Common Multiple (LCM) of 15217 and 15223 is 231648391.

LCM(15217,15223) = 231648391

LCM of 15217 and 15223

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

LCM of:
and

Least Common Multiple of 15217 and 15223

LCM of 15217 and 15223 is 231648391

Least common multiple can be found by multiplying the highest exponent prime factors of 15217 and 15223. First we will calculate the prime factors of 15217 and 15223.

Prime Factorization of 15217


15217 15217
1

Prime factors of 15217 are 15217. Prime factorization of 15217 in exponential form is:

15217 = 152171

Prime Factorization of 15223


13 15223
1171 1171
1

Prime factors of 15223 are 13,1171. Prime factorization of 15223 in exponential form is:

15223 = 131×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 15217 and 15223.

LCM(15217,15223) = 131×11711×152171
LCM(15217,15223) = 231648391

Factors of 15217

List of positive integer factors of 15217 that divides 15217 without a remainder.

1, 15217

Factors of 15223

List of positive integer factors of 15223 that divides 15223 without a remainder.

1, 13, 1171, 15223

Least Common Multiple of 15217 and 15223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15217 and 15223, than apply into the LCM equation.

GCF(15217,15223) = 1
LCM(15217,15223) = ( 15217 × 15223) / 1
LCM(15217,15223) = 231648391 / 1
LCM(15217,15223) = 231648391

Properties of LCM 15217 and 15223

(i) The LCM of 15223 and 15217 is associative

LCM of 15217 and 15223 = LCM of 15223 and 15217

Related Least Common Multiples of 15217

Related Least Common Multiples of 15223

Frequently Asked Questions on LCM of 15217 and 15223

1. What is the LCM of 15217 and 15223?

Answer: LCM of 15217 and 15223 is 231648391.

2. What are the Factors of 15217?

Answer: Factors of 15217 are 1, 15217. There are 2 integers that are factors of 15217. The greatest factor of 15217 is 15217.

3. What are the Factors of 15223?

Answer: Factors of 15223 are 1, 13, 1171, 15223. There are 4 integers that are factors of 15223. The greatest factor of 15223 is 15223.

4. How to Find the LCM of 15217 and 15223?

Answer:

Least Common Multiple of 15217 and 15223 = 231648391

Step 1: Find the prime factorization of 15217

15217 = 15217

Step 2: Find the prime factorization of 15223

15223 = 13 x 1171

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

LCM = 231648391 = 13 x 1171 x 15217

Step 4: Therefore, the least common multiple of 15217 and 15223 is 231648391.