Least Common Multiple of 9238 and 9244

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 9244 the smallest integer that is 42698036 that is divisible by both numbers.

Least Common Multiple (LCM) of 9238 and 9244 is 42698036.

LCM(9238,9244) = 42698036

LCM of 9238 and 9244

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

LCM of:
and

Least Common Multiple of 9238 and 9244

LCM of 9238 and 9244 is 42698036

Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9244. First we will calculate the prime factors of 9238 and 9244.

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 9244


2 9244
2 4622
2311 2311
1

Prime factors of 9244 are 2,2311. Prime factorization of 9244 in exponential form is:

9244 = 22×23111

Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9244.

LCM(9238,9244) = 22×311×1491×23111
LCM(9238,9244) = 42698036

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 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1, 2, 4, 2311, 4622, 9244

Least Common Multiple of 9238 and 9244 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 9244, than apply into the LCM equation.

GCF(9238,9244) = 2
LCM(9238,9244) = ( 9238 × 9244) / 2
LCM(9238,9244) = 85396072 / 2
LCM(9238,9244) = 42698036

Properties of LCM 9238 and 9244

(i) The LCM of 9244 and 9238 is associative

LCM of 9238 and 9244 = LCM of 9244 and 9238

Related Least Common Multiples of 9238

Related Least Common Multiples of 9244

Frequently Asked Questions on LCM of 9238 and 9244

1. What is the LCM of 9238 and 9244?

Answer: LCM of 9238 and 9244 is 42698036.

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 9244?

Answer: Factors of 9244 are 1, 2, 4, 2311, 4622, 9244. There are 6 integers that are factors of 9244. The greatest factor of 9244 is 9244.

4. How to Find the LCM of 9238 and 9244?

Answer:

Least Common Multiple of 9238 and 9244 = 42698036

Step 1: Find the prime factorization of 9238

9238 = 2 x 31 x 149

Step 2: Find the prime factorization of 9244

9244 = 2 x 2 x 2311

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

LCM = 42698036 = 2 x 2 x 31 x 149 x 2311

Step 4: Therefore, the least common multiple of 9238 and 9244 is 42698036.