Least Common Multiple of 9258 and 9263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9258 and 9263 the smallest integer that is 85756854 that is divisible by both numbers.

Least Common Multiple (LCM) of 9258 and 9263 is 85756854.

LCM(9258,9263) = 85756854

LCM of 9258 and 9263

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

LCM of:
and

Least Common Multiple of 9258 and 9263

LCM of 9258 and 9263 is 85756854

Least common multiple can be found by multiplying the highest exponent prime factors of 9258 and 9263. First we will calculate the prime factors of 9258 and 9263.

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

Prime Factorization of 9263


59 9263
157 157
1

Prime factors of 9263 are 59,157. Prime factorization of 9263 in exponential form is:

9263 = 591×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9258 and 9263.

LCM(9258,9263) = 21×31×591×1571×15431
LCM(9258,9263) = 85756854

Factors of 9258

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

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

Factors of 9263

List of positive integer factors of 9263 that divides 9263 without a remainder.

1, 59, 157, 9263

Least Common Multiple of 9258 and 9263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9258 and 9263, than apply into the LCM equation.

GCF(9258,9263) = 1
LCM(9258,9263) = ( 9258 × 9263) / 1
LCM(9258,9263) = 85756854 / 1
LCM(9258,9263) = 85756854

Properties of LCM 9258 and 9263

(i) The LCM of 9263 and 9258 is associative

LCM of 9258 and 9263 = LCM of 9263 and 9258

Related Least Common Multiples of 9258

Related Least Common Multiples of 9263

Frequently Asked Questions on LCM of 9258 and 9263

1. What is the LCM of 9258 and 9263?

Answer: LCM of 9258 and 9263 is 85756854.

2. 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.

3. What are the Factors of 9263?

Answer: Factors of 9263 are 1, 59, 157, 9263. There are 4 integers that are factors of 9263. The greatest factor of 9263 is 9263.

4. How to Find the LCM of 9258 and 9263?

Answer:

Least Common Multiple of 9258 and 9263 = 85756854

Step 1: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

Step 2: Find the prime factorization of 9263

9263 = 59 x 157

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

LCM = 85756854 = 2 x 3 x 59 x 157 x 1543

Step 4: Therefore, the least common multiple of 9258 and 9263 is 85756854.