Least Common Multiple of 9232 and 9238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9232 and 9238 the smallest integer that is 42642608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9232 and 9238 is 42642608.

LCM(9232,9238) = 42642608

LCM of 9232 and 9238

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

LCM of:
and

Least Common Multiple of 9232 and 9238

LCM of 9232 and 9238 is 42642608

Least common multiple can be found by multiplying the highest exponent prime factors of 9232 and 9238. First we will calculate the prime factors of 9232 and 9238.

Prime Factorization of 9232


2 9232
2 4616
2 2308
2 1154
577 577
1

Prime factors of 9232 are 2,577. Prime factorization of 9232 in exponential form is:

9232 = 24×5771

Prime Factorization of 9238


2 9238
31 4619
149 149
1

Prime factors of 9238 are 2, 31,149. Prime factorization of 9238 in exponential form is:

9238 = 21×311×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9232 and 9238.

LCM(9232,9238) = 24×311×1491×5771
LCM(9232,9238) = 42642608

Factors of 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1, 2, 31, 62, 149, 298, 4619, 9238

Least Common Multiple of 9232 and 9238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9232 and 9238, than apply into the LCM equation.

GCF(9232,9238) = 2
LCM(9232,9238) = ( 9232 × 9238) / 2
LCM(9232,9238) = 85285216 / 2
LCM(9232,9238) = 42642608

Properties of LCM 9232 and 9238

(i) The LCM of 9238 and 9232 is associative

LCM of 9232 and 9238 = LCM of 9238 and 9232

Related Least Common Multiples of 9232

Related Least Common Multiples of 9238

Frequently Asked Questions on LCM of 9232 and 9238

1. What is the LCM of 9232 and 9238?

Answer: LCM of 9232 and 9238 is 42642608.

2. What are the Factors of 9232?

Answer: Factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232. There are 10 integers that are factors of 9232. The greatest factor of 9232 is 9232.

3. What are the Factors of 9238?

Answer: Factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238. There are 8 integers that are factors of 9238. The greatest factor of 9238 is 9238.

4. How to Find the LCM of 9232 and 9238?

Answer:

Least Common Multiple of 9232 and 9238 = 42642608

Step 1: Find the prime factorization of 9232

9232 = 2 x 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 9238

9238 = 2 x 31 x 149

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

LCM = 42642608 = 2 x 2 x 2 x 2 x 31 x 149 x 577

Step 4: Therefore, the least common multiple of 9232 and 9238 is 42642608.