Least Common Multiple of 15216 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 15216 and 15223 the smallest integer that is 231633168 that is divisible by both numbers.

Least Common Multiple (LCM) of 15216 and 15223 is 231633168.

LCM(15216,15223) = 231633168

LCM of 15216 and 15223

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

LCM of:
and

Least Common Multiple of 15216 and 15223

LCM of 15216 and 15223 is 231633168

Least common multiple can be found by multiplying the highest exponent prime factors of 15216 and 15223. First we will calculate the prime factors of 15216 and 15223.

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 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 15216 and 15223.

LCM(15216,15223) = 24×31×131×3171×11711
LCM(15216,15223) = 231633168

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 15223

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

1, 13, 1171, 15223

Least Common Multiple of 15216 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 15216 and 15223, than apply into the LCM equation.

GCF(15216,15223) = 1
LCM(15216,15223) = ( 15216 × 15223) / 1
LCM(15216,15223) = 231633168 / 1
LCM(15216,15223) = 231633168

Properties of LCM 15216 and 15223

(i) The LCM of 15223 and 15216 is associative

LCM of 15216 and 15223 = LCM of 15223 and 15216

Related Least Common Multiples of 15216

Related Least Common Multiples of 15223

Frequently Asked Questions on LCM of 15216 and 15223

1. What is the LCM of 15216 and 15223?

Answer: LCM of 15216 and 15223 is 231633168.

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 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 15216 and 15223?

Answer:

Least Common Multiple of 15216 and 15223 = 231633168

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 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 = 231633168 = 2 x 2 x 2 x 2 x 3 x 13 x 317 x 1171

Step 4: Therefore, the least common multiple of 15216 and 15223 is 231633168.