Least Common Multiple of 15232 and 15233

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 15233 the smallest integer that is 232029056 that is divisible by both numbers.

Least Common Multiple (LCM) of 15232 and 15233 is 232029056.

LCM(15232,15233) = 232029056

LCM of 15232 and 15233

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

LCM of:
and

Least Common Multiple of 15232 and 15233

LCM of 15232 and 15233 is 232029056

Least common multiple can be found by multiplying the highest exponent prime factors of 15232 and 15233. First we will calculate the prime factors of 15232 and 15233.

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 15233


15233 15233
1

Prime factors of 15233 are 15233. Prime factorization of 15233 in exponential form is:

15233 = 152331

Now multiplying the highest exponent prime factors to calculate the LCM of 15232 and 15233.

LCM(15232,15233) = 27×71×171×152331
LCM(15232,15233) = 232029056

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 15233

List of positive integer factors of 15233 that divides 15233 without a remainder.

1, 15233

Least Common Multiple of 15232 and 15233 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 15233, than apply into the LCM equation.

GCF(15232,15233) = 1
LCM(15232,15233) = ( 15232 × 15233) / 1
LCM(15232,15233) = 232029056 / 1
LCM(15232,15233) = 232029056

Properties of LCM 15232 and 15233

(i) The LCM of 15233 and 15232 is associative

LCM of 15232 and 15233 = LCM of 15233 and 15232

Related Least Common Multiples of 15232

Related Least Common Multiples of 15233

Frequently Asked Questions on LCM of 15232 and 15233

1. What is the LCM of 15232 and 15233?

Answer: LCM of 15232 and 15233 is 232029056.

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 15233?

Answer: Factors of 15233 are 1, 15233. There are 2 integers that are factors of 15233. The greatest factor of 15233 is 15233.

4. How to Find the LCM of 15232 and 15233?

Answer:

Least Common Multiple of 15232 and 15233 = 232029056

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 15233

15233 = 15233

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

LCM = 232029056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 15233

Step 4: Therefore, the least common multiple of 15232 and 15233 is 232029056.