Least Common Multiple of 15232 and 15238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15232 and 15238 the smallest integer that is 116052608 that is divisible by both numbers.

Least Common Multiple (LCM) of 15232 and 15238 is 116052608.

LCM(15232,15238) = 116052608

LCM of 15232 and 15238

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

LCM of:
and

Least Common Multiple of 15232 and 15238

LCM of 15232 and 15238 is 116052608

Least common multiple can be found by multiplying the highest exponent prime factors of 15232 and 15238. First we will calculate the prime factors of 15232 and 15238.

Prime Factorization of 15232


2 15232
2 7616
2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 15232 are 2, 7,17. Prime factorization of 15232 in exponential form is:

15232 = 27×71×171

Prime Factorization of 15238


2 15238
19 7619
401 401
1

Prime factors of 15238 are 2, 19,401. Prime factorization of 15238 in exponential form is:

15238 = 21×191×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 15232 and 15238.

LCM(15232,15238) = 27×71×171×191×4011
LCM(15232,15238) = 116052608

Factors of 15232

List of positive integer factors of 15232 that divides 15232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232

Factors of 15238

List of positive integer factors of 15238 that divides 15238 without a remainder.

1, 2, 19, 38, 401, 802, 7619, 15238

Least Common Multiple of 15232 and 15238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15232 and 15238, than apply into the LCM equation.

GCF(15232,15238) = 2
LCM(15232,15238) = ( 15232 × 15238) / 2
LCM(15232,15238) = 232105216 / 2
LCM(15232,15238) = 116052608

Properties of LCM 15232 and 15238

(i) The LCM of 15238 and 15232 is associative

LCM of 15232 and 15238 = LCM of 15238 and 15232

Related Least Common Multiples of 15232

Related Least Common Multiples of 15238

Frequently Asked Questions on LCM of 15232 and 15238

1. What is the LCM of 15232 and 15238?

Answer: LCM of 15232 and 15238 is 116052608.

2. What are the Factors of 15232?

Answer: Factors of 15232 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232. There are 32 integers that are factors of 15232. The greatest factor of 15232 is 15232.

3. What are the Factors of 15238?

Answer: Factors of 15238 are 1, 2, 19, 38, 401, 802, 7619, 15238. There are 8 integers that are factors of 15238. The greatest factor of 15238 is 15238.

4. How to Find the LCM of 15232 and 15238?

Answer:

Least Common Multiple of 15232 and 15238 = 116052608

Step 1: Find the prime factorization of 15232

15232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 15238

15238 = 2 x 19 x 401

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

LCM = 116052608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 19 x 401

Step 4: Therefore, the least common multiple of 15232 and 15238 is 116052608.