Least Common Multiple of 9235 and 9242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9235 and 9242 the smallest integer that is 85349870 that is divisible by both numbers.

Least Common Multiple (LCM) of 9235 and 9242 is 85349870.

LCM(9235,9242) = 85349870

LCM of 9235 and 9242

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

LCM of:
and

Least Common Multiple of 9235 and 9242

LCM of 9235 and 9242 is 85349870

Least common multiple can be found by multiplying the highest exponent prime factors of 9235 and 9242. First we will calculate the prime factors of 9235 and 9242.

Prime Factorization of 9235


5 9235
1847 1847
1

Prime factors of 9235 are 5,1847. Prime factorization of 9235 in exponential form is:

9235 = 51×18471

Prime Factorization of 9242


2 9242
4621 4621
1

Prime factors of 9242 are 2,4621. Prime factorization of 9242 in exponential form is:

9242 = 21×46211

Now multiplying the highest exponent prime factors to calculate the LCM of 9235 and 9242.

LCM(9235,9242) = 21×51×18471×46211
LCM(9235,9242) = 85349870

Factors of 9235

List of positive integer factors of 9235 that divides 9235 without a remainder.

1, 5, 1847, 9235

Factors of 9242

List of positive integer factors of 9242 that divides 9242 without a remainder.

1, 2, 4621, 9242

Least Common Multiple of 9235 and 9242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9235 and 9242, than apply into the LCM equation.

GCF(9235,9242) = 1
LCM(9235,9242) = ( 9235 × 9242) / 1
LCM(9235,9242) = 85349870 / 1
LCM(9235,9242) = 85349870

Properties of LCM 9235 and 9242

(i) The LCM of 9242 and 9235 is associative

LCM of 9235 and 9242 = LCM of 9242 and 9235

Related Least Common Multiples of 9235

Related Least Common Multiples of 9242

Frequently Asked Questions on LCM of 9235 and 9242

1. What is the LCM of 9235 and 9242?

Answer: LCM of 9235 and 9242 is 85349870.

2. What are the Factors of 9235?

Answer: Factors of 9235 are 1, 5, 1847, 9235. There are 4 integers that are factors of 9235. The greatest factor of 9235 is 9235.

3. What are the Factors of 9242?

Answer: Factors of 9242 are 1, 2, 4621, 9242. There are 4 integers that are factors of 9242. The greatest factor of 9242 is 9242.

4. How to Find the LCM of 9235 and 9242?

Answer:

Least Common Multiple of 9235 and 9242 = 85349870

Step 1: Find the prime factorization of 9235

9235 = 5 x 1847

Step 2: Find the prime factorization of 9242

9242 = 2 x 4621

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

LCM = 85349870 = 2 x 5 x 1847 x 4621

Step 4: Therefore, the least common multiple of 9235 and 9242 is 85349870.