Least Common Multiple of 9262 and 9268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9262 and 9268 the smallest integer that is 42920108 that is divisible by both numbers.

Least Common Multiple (LCM) of 9262 and 9268 is 42920108.

LCM(9262,9268) = 42920108

LCM of 9262 and 9268

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

LCM of:
and

Least Common Multiple of 9262 and 9268

LCM of 9262 and 9268 is 42920108

Least common multiple can be found by multiplying the highest exponent prime factors of 9262 and 9268. First we will calculate the prime factors of 9262 and 9268.

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

Prime Factorization of 9268


2 9268
2 4634
7 2317
331 331
1

Prime factors of 9268 are 2, 7,331. Prime factorization of 9268 in exponential form is:

9268 = 22×71×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 9262 and 9268.

LCM(9262,9268) = 22×71×111×3311×4211
LCM(9262,9268) = 42920108

Factors of 9262

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

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

Factors of 9268

List of positive integer factors of 9268 that divides 9268 without a remainder.

1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268

Least Common Multiple of 9262 and 9268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9262 and 9268, than apply into the LCM equation.

GCF(9262,9268) = 2
LCM(9262,9268) = ( 9262 × 9268) / 2
LCM(9262,9268) = 85840216 / 2
LCM(9262,9268) = 42920108

Properties of LCM 9262 and 9268

(i) The LCM of 9268 and 9262 is associative

LCM of 9262 and 9268 = LCM of 9268 and 9262

Related Least Common Multiples of 9262

Related Least Common Multiples of 9268

Frequently Asked Questions on LCM of 9262 and 9268

1. What is the LCM of 9262 and 9268?

Answer: LCM of 9262 and 9268 is 42920108.

2. 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.

3. What are the Factors of 9268?

Answer: Factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268. There are 12 integers that are factors of 9268. The greatest factor of 9268 is 9268.

4. How to Find the LCM of 9262 and 9268?

Answer:

Least Common Multiple of 9262 and 9268 = 42920108

Step 1: Find the prime factorization of 9262

9262 = 2 x 11 x 421

Step 2: Find the prime factorization of 9268

9268 = 2 x 2 x 7 x 331

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

LCM = 42920108 = 2 x 2 x 7 x 11 x 331 x 421

Step 4: Therefore, the least common multiple of 9262 and 9268 is 42920108.