Least Common Multiple of 9285 and 9292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9285 and 9292 the smallest integer that is 86276220 that is divisible by both numbers.

Least Common Multiple (LCM) of 9285 and 9292 is 86276220.

LCM(9285,9292) = 86276220

LCM of 9285 and 9292

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

LCM of:
and

Least Common Multiple of 9285 and 9292

LCM of 9285 and 9292 is 86276220

Least common multiple can be found by multiplying the highest exponent prime factors of 9285 and 9292. First we will calculate the prime factors of 9285 and 9292.

Prime Factorization of 9285


3 9285
5 3095
619 619
1

Prime factors of 9285 are 3, 5,619. Prime factorization of 9285 in exponential form is:

9285 = 31×51×6191

Prime Factorization of 9292


2 9292
2 4646
23 2323
101 101
1

Prime factors of 9292 are 2, 23,101. Prime factorization of 9292 in exponential form is:

9292 = 22×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9285 and 9292.

LCM(9285,9292) = 22×31×51×231×1011×6191
LCM(9285,9292) = 86276220

Factors of 9285

List of positive integer factors of 9285 that divides 9285 without a remainder.

1, 3, 5, 15, 619, 1857, 3095, 9285

Factors of 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292

Least Common Multiple of 9285 and 9292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9285 and 9292, than apply into the LCM equation.

GCF(9285,9292) = 1
LCM(9285,9292) = ( 9285 × 9292) / 1
LCM(9285,9292) = 86276220 / 1
LCM(9285,9292) = 86276220

Properties of LCM 9285 and 9292

(i) The LCM of 9292 and 9285 is associative

LCM of 9285 and 9292 = LCM of 9292 and 9285

Related Least Common Multiples of 9285

Related Least Common Multiples of 9292

Frequently Asked Questions on LCM of 9285 and 9292

1. What is the LCM of 9285 and 9292?

Answer: LCM of 9285 and 9292 is 86276220.

2. What are the Factors of 9285?

Answer: Factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285. There are 8 integers that are factors of 9285. The greatest factor of 9285 is 9285.

3. What are the Factors of 9292?

Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.

4. How to Find the LCM of 9285 and 9292?

Answer:

Least Common Multiple of 9285 and 9292 = 86276220

Step 1: Find the prime factorization of 9285

9285 = 3 x 5 x 619

Step 2: Find the prime factorization of 9292

9292 = 2 x 2 x 23 x 101

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

LCM = 86276220 = 2 x 2 x 3 x 5 x 23 x 101 x 619

Step 4: Therefore, the least common multiple of 9285 and 9292 is 86276220.