Least Common Multiple of 9258 and 9262

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 9262 the smallest integer that is 42873798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9258 and 9262 is 42873798.

LCM(9258,9262) = 42873798

LCM of 9258 and 9262

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

LCM of:
and

Least Common Multiple of 9258 and 9262

LCM of 9258 and 9262 is 42873798

Least common multiple can be found by multiplying the highest exponent prime factors of 9258 and 9262. First we will calculate the prime factors of 9258 and 9262.

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 9262


2 9262
11 4631
421 421
1

Prime factors of 9262 are 2, 11,421. Prime factorization of 9262 in exponential form is:

9262 = 21×111×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 9258 and 9262.

LCM(9258,9262) = 21×31×111×4211×15431
LCM(9258,9262) = 42873798

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 9262

List of positive integer factors of 9262 that divides 9262 without a remainder.

1, 2, 11, 22, 421, 842, 4631, 9262

Least Common Multiple of 9258 and 9262 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 9262, than apply into the LCM equation.

GCF(9258,9262) = 2
LCM(9258,9262) = ( 9258 × 9262) / 2
LCM(9258,9262) = 85747596 / 2
LCM(9258,9262) = 42873798

Properties of LCM 9258 and 9262

(i) The LCM of 9262 and 9258 is associative

LCM of 9258 and 9262 = LCM of 9262 and 9258

Related Least Common Multiples of 9258

Related Least Common Multiples of 9262

Frequently Asked Questions on LCM of 9258 and 9262

1. What is the LCM of 9258 and 9262?

Answer: LCM of 9258 and 9262 is 42873798.

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 9262?

Answer: Factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262. There are 8 integers that are factors of 9262. The greatest factor of 9262 is 9262.

4. How to Find the LCM of 9258 and 9262?

Answer:

Least Common Multiple of 9258 and 9262 = 42873798

Step 1: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

Step 2: Find the prime factorization of 9262

9262 = 2 x 11 x 421

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

LCM = 42873798 = 2 x 3 x 11 x 421 x 1543

Step 4: Therefore, the least common multiple of 9258 and 9262 is 42873798.