Least Common Multiple of 9232 and 9236

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 9236 the smallest integer that is 21316688 that is divisible by both numbers.

Least Common Multiple (LCM) of 9232 and 9236 is 21316688.

LCM(9232,9236) = 21316688

LCM of 9232 and 9236

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

LCM of:
and

Least Common Multiple of 9232 and 9236

LCM of 9232 and 9236 is 21316688

Least common multiple can be found by multiplying the highest exponent prime factors of 9232 and 9236. First we will calculate the prime factors of 9232 and 9236.

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 9236


2 9236
2 4618
2309 2309
1

Prime factors of 9236 are 2,2309. Prime factorization of 9236 in exponential form is:

9236 = 22×23091

Now multiplying the highest exponent prime factors to calculate the LCM of 9232 and 9236.

LCM(9232,9236) = 24×5771×23091
LCM(9232,9236) = 21316688

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 9236

List of positive integer factors of 9236 that divides 9236 without a remainder.

1, 2, 4, 2309, 4618, 9236

Least Common Multiple of 9232 and 9236 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 9236, than apply into the LCM equation.

GCF(9232,9236) = 4
LCM(9232,9236) = ( 9232 × 9236) / 4
LCM(9232,9236) = 85266752 / 4
LCM(9232,9236) = 21316688

Properties of LCM 9232 and 9236

(i) The LCM of 9236 and 9232 is associative

LCM of 9232 and 9236 = LCM of 9236 and 9232

Related Least Common Multiples of 9232

Related Least Common Multiples of 9236

Frequently Asked Questions on LCM of 9232 and 9236

1. What is the LCM of 9232 and 9236?

Answer: LCM of 9232 and 9236 is 21316688.

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 9236?

Answer: Factors of 9236 are 1, 2, 4, 2309, 4618, 9236. There are 6 integers that are factors of 9236. The greatest factor of 9236 is 9236.

4. How to Find the LCM of 9232 and 9236?

Answer:

Least Common Multiple of 9232 and 9236 = 21316688

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 9236

9236 = 2 x 2 x 2309

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

LCM = 21316688 = 2 x 2 x 2 x 2 x 577 x 2309

Step 4: Therefore, the least common multiple of 9232 and 9236 is 21316688.