Least Common Multiple of 9231 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 9231 and 9238 the smallest integer that is 85275978 that is divisible by both numbers.

Least Common Multiple (LCM) of 9231 and 9238 is 85275978.

LCM(9231,9238) = 85275978

LCM of 9231 and 9238

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

LCM of:
and

Least Common Multiple of 9231 and 9238

LCM of 9231 and 9238 is 85275978

Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9238. First we will calculate the prime factors of 9231 and 9238.

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 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 9231 and 9238.

LCM(9231,9238) = 21×31×171×311×1491×1811
LCM(9231,9238) = 85275978

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 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 9231 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 9231 and 9238, than apply into the LCM equation.

GCF(9231,9238) = 1
LCM(9231,9238) = ( 9231 × 9238) / 1
LCM(9231,9238) = 85275978 / 1
LCM(9231,9238) = 85275978

Properties of LCM 9231 and 9238

(i) The LCM of 9238 and 9231 is associative

LCM of 9231 and 9238 = LCM of 9238 and 9231

Related Least Common Multiples of 9231

Related Least Common Multiples of 9238

Frequently Asked Questions on LCM of 9231 and 9238

1. What is the LCM of 9231 and 9238?

Answer: LCM of 9231 and 9238 is 85275978.

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 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 9231 and 9238?

Answer:

Least Common Multiple of 9231 and 9238 = 85275978

Step 1: Find the prime factorization of 9231

9231 = 3 x 17 x 181

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 = 85275978 = 2 x 3 x 17 x 31 x 149 x 181

Step 4: Therefore, the least common multiple of 9231 and 9238 is 85275978.