Least Common Multiple of 4286 and 4292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4286 and 4292 the smallest integer that is 9197756 that is divisible by both numbers.

Least Common Multiple (LCM) of 4286 and 4292 is 9197756.

LCM(4286,4292) = 9197756

LCM of 4286 and 4292

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

LCM of:
and

Least Common Multiple of 4286 and 4292

LCM of 4286 and 4292 is 9197756

Least common multiple can be found by multiplying the highest exponent prime factors of 4286 and 4292. First we will calculate the prime factors of 4286 and 4292.

Prime Factorization of 4286


2 4286
2143 2143
1

Prime factors of 4286 are 2,2143. Prime factorization of 4286 in exponential form is:

4286 = 21×21431

Prime Factorization of 4292


2 4292
2 2146
29 1073
37 37
1

Prime factors of 4292 are 2, 29,37. Prime factorization of 4292 in exponential form is:

4292 = 22×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4286 and 4292.

LCM(4286,4292) = 22×291×371×21431
LCM(4286,4292) = 9197756

Factors of 4286

List of positive integer factors of 4286 that divides 4286 without a remainder.

1, 2, 2143, 4286

Factors of 4292

List of positive integer factors of 4292 that divides 4292 without a remainder.

1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292

Least Common Multiple of 4286 and 4292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4286 and 4292, than apply into the LCM equation.

GCF(4286,4292) = 2
LCM(4286,4292) = ( 4286 × 4292) / 2
LCM(4286,4292) = 18395512 / 2
LCM(4286,4292) = 9197756

Properties of LCM 4286 and 4292

(i) The LCM of 4292 and 4286 is associative

LCM of 4286 and 4292 = LCM of 4292 and 4286

Related Least Common Multiples of 4286

Related Least Common Multiples of 4292

Frequently Asked Questions on LCM of 4286 and 4292

1. What is the LCM of 4286 and 4292?

Answer: LCM of 4286 and 4292 is 9197756.

2. What are the Factors of 4286?

Answer: Factors of 4286 are 1, 2, 2143, 4286. There are 4 integers that are factors of 4286. The greatest factor of 4286 is 4286.

3. What are the Factors of 4292?

Answer: Factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292. There are 12 integers that are factors of 4292. The greatest factor of 4292 is 4292.

4. How to Find the LCM of 4286 and 4292?

Answer:

Least Common Multiple of 4286 and 4292 = 9197756

Step 1: Find the prime factorization of 4286

4286 = 2 x 2143

Step 2: Find the prime factorization of 4292

4292 = 2 x 2 x 29 x 37

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

LCM = 9197756 = 2 x 2 x 29 x 37 x 2143

Step 4: Therefore, the least common multiple of 4286 and 4292 is 9197756.