Least Common Multiple of 15216 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 15216 and 15221 the smallest integer that is 231602736 that is divisible by both numbers.

Least Common Multiple (LCM) of 15216 and 15221 is 231602736.

LCM(15216,15221) = 231602736

LCM of 15216 and 15221

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

LCM of:
and

Least Common Multiple of 15216 and 15221

LCM of 15216 and 15221 is 231602736

Least common multiple can be found by multiplying the highest exponent prime factors of 15216 and 15221. First we will calculate the prime factors of 15216 and 15221.

Prime Factorization of 15216


2 15216
2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 15216 are 2, 3,317. Prime factorization of 15216 in exponential form is:

15216 = 24×31×3171

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 15216 and 15221.

LCM(15216,15221) = 24×31×311×3171×4911
LCM(15216,15221) = 231602736

Factors of 15216

List of positive integer factors of 15216 that divides 15216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216

Factors of 15221

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

1, 31, 491, 15221

Least Common Multiple of 15216 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 15216 and 15221, than apply into the LCM equation.

GCF(15216,15221) = 1
LCM(15216,15221) = ( 15216 × 15221) / 1
LCM(15216,15221) = 231602736 / 1
LCM(15216,15221) = 231602736

Properties of LCM 15216 and 15221

(i) The LCM of 15221 and 15216 is associative

LCM of 15216 and 15221 = LCM of 15221 and 15216

Related Least Common Multiples of 15216

Related Least Common Multiples of 15221

Frequently Asked Questions on LCM of 15216 and 15221

1. What is the LCM of 15216 and 15221?

Answer: LCM of 15216 and 15221 is 231602736.

2. What are the Factors of 15216?

Answer: Factors of 15216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216. There are 20 integers that are factors of 15216. The greatest factor of 15216 is 15216.

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 15216 and 15221?

Answer:

Least Common Multiple of 15216 and 15221 = 231602736

Step 1: Find the prime factorization of 15216

15216 = 2 x 2 x 2 x 2 x 3 x 317

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 = 231602736 = 2 x 2 x 2 x 2 x 3 x 31 x 317 x 491

Step 4: Therefore, the least common multiple of 15216 and 15221 is 231602736.