Least Common Multiple of 9231 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 9231 and 9236 the smallest integer that is 85257516 that is divisible by both numbers.

Least Common Multiple (LCM) of 9231 and 9236 is 85257516.

LCM(9231,9236) = 85257516

LCM of 9231 and 9236

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

LCM of:
and

Least Common Multiple of 9231 and 9236

LCM of 9231 and 9236 is 85257516

Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9236. First we will calculate the prime factors of 9231 and 9236.

Prime Factorization of 9231


3 9231
17 3077
181 181
1

Prime factors of 9231 are 3, 17,181. Prime factorization of 9231 in exponential form is:

9231 = 31×171×1811

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 9231 and 9236.

LCM(9231,9236) = 22×31×171×1811×23091
LCM(9231,9236) = 85257516

Factors of 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1, 3, 17, 51, 181, 543, 3077, 9231

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 9231 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 9231 and 9236, than apply into the LCM equation.

GCF(9231,9236) = 1
LCM(9231,9236) = ( 9231 × 9236) / 1
LCM(9231,9236) = 85257516 / 1
LCM(9231,9236) = 85257516

Properties of LCM 9231 and 9236

(i) The LCM of 9236 and 9231 is associative

LCM of 9231 and 9236 = LCM of 9236 and 9231

Related Least Common Multiples of 9231

Related Least Common Multiples of 9236

Frequently Asked Questions on LCM of 9231 and 9236

1. What is the LCM of 9231 and 9236?

Answer: LCM of 9231 and 9236 is 85257516.

2. What are the Factors of 9231?

Answer: Factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231. There are 8 integers that are factors of 9231. The greatest factor of 9231 is 9231.

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 9231 and 9236?

Answer:

Least Common Multiple of 9231 and 9236 = 85257516

Step 1: Find the prime factorization of 9231

9231 = 3 x 17 x 181

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 = 85257516 = 2 x 2 x 3 x 17 x 181 x 2309

Step 4: Therefore, the least common multiple of 9231 and 9236 is 85257516.