Least Common Multiple of 9238 and 9245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9238 and 9245 the smallest integer that is 85405310 that is divisible by both numbers.

Least Common Multiple (LCM) of 9238 and 9245 is 85405310.

LCM(9238,9245) = 85405310

LCM of 9238 and 9245

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

LCM of:
and

Least Common Multiple of 9238 and 9245

LCM of 9238 and 9245 is 85405310

Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9245. First we will calculate the prime factors of 9238 and 9245.

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

Prime Factorization of 9245


5 9245
43 1849
43 43
1

Prime factors of 9245 are 5,43. Prime factorization of 9245 in exponential form is:

9245 = 51×432

Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9245.

LCM(9238,9245) = 21×51×311×432×1491
LCM(9238,9245) = 85405310

Factors of 9238

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

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

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1, 5, 43, 215, 1849, 9245

Least Common Multiple of 9238 and 9245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9238 and 9245, than apply into the LCM equation.

GCF(9238,9245) = 1
LCM(9238,9245) = ( 9238 × 9245) / 1
LCM(9238,9245) = 85405310 / 1
LCM(9238,9245) = 85405310

Properties of LCM 9238 and 9245

(i) The LCM of 9245 and 9238 is associative

LCM of 9238 and 9245 = LCM of 9245 and 9238

Related Least Common Multiples of 9238

Related Least Common Multiples of 9245

Frequently Asked Questions on LCM of 9238 and 9245

1. What is the LCM of 9238 and 9245?

Answer: LCM of 9238 and 9245 is 85405310.

2. 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.

3. What are the Factors of 9245?

Answer: Factors of 9245 are 1, 5, 43, 215, 1849, 9245. There are 6 integers that are factors of 9245. The greatest factor of 9245 is 9245.

4. How to Find the LCM of 9238 and 9245?

Answer:

Least Common Multiple of 9238 and 9245 = 85405310

Step 1: Find the prime factorization of 9238

9238 = 2 x 31 x 149

Step 2: Find the prime factorization of 9245

9245 = 5 x 43 x 43

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

LCM = 85405310 = 2 x 5 x 31 x 43 x 43 x 149

Step 4: Therefore, the least common multiple of 9238 and 9245 is 85405310.