Least Common Multiple of 9254 and 9258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9254 and 9258 the smallest integer that is 42836766 that is divisible by both numbers.

Least Common Multiple (LCM) of 9254 and 9258 is 42836766.

LCM(9254,9258) = 42836766

LCM of 9254 and 9258

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

LCM of:
and

Least Common Multiple of 9254 and 9258

LCM of 9254 and 9258 is 42836766

Least common multiple can be found by multiplying the highest exponent prime factors of 9254 and 9258. First we will calculate the prime factors of 9254 and 9258.

Prime Factorization of 9254


2 9254
7 4627
661 661
1

Prime factors of 9254 are 2, 7,661. Prime factorization of 9254 in exponential form is:

9254 = 21×71×6611

Prime Factorization of 9258


2 9258
3 4629
1543 1543
1

Prime factors of 9258 are 2, 3,1543. Prime factorization of 9258 in exponential form is:

9258 = 21×31×15431

Now multiplying the highest exponent prime factors to calculate the LCM of 9254 and 9258.

LCM(9254,9258) = 21×31×71×6611×15431
LCM(9254,9258) = 42836766

Factors of 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1, 2, 7, 14, 661, 1322, 4627, 9254

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1, 2, 3, 6, 1543, 3086, 4629, 9258

Least Common Multiple of 9254 and 9258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9254 and 9258, than apply into the LCM equation.

GCF(9254,9258) = 2
LCM(9254,9258) = ( 9254 × 9258) / 2
LCM(9254,9258) = 85673532 / 2
LCM(9254,9258) = 42836766

Properties of LCM 9254 and 9258

(i) The LCM of 9258 and 9254 is associative

LCM of 9254 and 9258 = LCM of 9258 and 9254

Related Least Common Multiples of 9254

Related Least Common Multiples of 9258

Frequently Asked Questions on LCM of 9254 and 9258

1. What is the LCM of 9254 and 9258?

Answer: LCM of 9254 and 9258 is 42836766.

2. What are the Factors of 9254?

Answer: Factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254. There are 8 integers that are factors of 9254. The greatest factor of 9254 is 9254.

3. What are the Factors of 9258?

Answer: Factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258. There are 8 integers that are factors of 9258. The greatest factor of 9258 is 9258.

4. How to Find the LCM of 9254 and 9258?

Answer:

Least Common Multiple of 9254 and 9258 = 42836766

Step 1: Find the prime factorization of 9254

9254 = 2 x 7 x 661

Step 2: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

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

LCM = 42836766 = 2 x 3 x 7 x 661 x 1543

Step 4: Therefore, the least common multiple of 9254 and 9258 is 42836766.