Least Common Multiple of 15217 and 15221

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 15221 the smallest integer that is 231617957 that is divisible by both numbers.

Least Common Multiple (LCM) of 15217 and 15221 is 231617957.

LCM(15217,15221) = 231617957

LCM of 15217 and 15221

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

LCM of:
and

Least Common Multiple of 15217 and 15221

LCM of 15217 and 15221 is 231617957

Least common multiple can be found by multiplying the highest exponent prime factors of 15217 and 15221. First we will calculate the prime factors of 15217 and 15221.

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 15221


31 15221
491 491
1

Prime factors of 15221 are 31,491. Prime factorization of 15221 in exponential form is:

15221 = 311×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 15217 and 15221.

LCM(15217,15221) = 311×4911×152171
LCM(15217,15221) = 231617957

Factors of 15217

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

1, 15217

Factors of 15221

List of positive integer factors of 15221 that divides 15221 without a remainder.

1, 31, 491, 15221

Least Common Multiple of 15217 and 15221 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 15221, than apply into the LCM equation.

GCF(15217,15221) = 1
LCM(15217,15221) = ( 15217 × 15221) / 1
LCM(15217,15221) = 231617957 / 1
LCM(15217,15221) = 231617957

Properties of LCM 15217 and 15221

(i) The LCM of 15221 and 15217 is associative

LCM of 15217 and 15221 = LCM of 15221 and 15217

Related Least Common Multiples of 15217

Related Least Common Multiples of 15221

Frequently Asked Questions on LCM of 15217 and 15221

1. What is the LCM of 15217 and 15221?

Answer: LCM of 15217 and 15221 is 231617957.

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 15221?

Answer: Factors of 15221 are 1, 31, 491, 15221. There are 4 integers that are factors of 15221. The greatest factor of 15221 is 15221.

4. How to Find the LCM of 15217 and 15221?

Answer:

Least Common Multiple of 15217 and 15221 = 231617957

Step 1: Find the prime factorization of 15217

15217 = 15217

Step 2: Find the prime factorization of 15221

15221 = 31 x 491

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

LCM = 231617957 = 31 x 491 x 15217

Step 4: Therefore, the least common multiple of 15217 and 15221 is 231617957.