Least Common Multiple of 4284 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 4284 and 4292 the smallest integer that is 4596732 that is divisible by both numbers.

Least Common Multiple (LCM) of 4284 and 4292 is 4596732.

LCM(4284,4292) = 4596732

LCM of 4284 and 4292

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

LCM of:
and

Least Common Multiple of 4284 and 4292

LCM of 4284 and 4292 is 4596732

Least common multiple can be found by multiplying the highest exponent prime factors of 4284 and 4292. First we will calculate the prime factors of 4284 and 4292.

Prime Factorization of 4284


2 4284
2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 4284 are 2, 3, 7,17. Prime factorization of 4284 in exponential form is:

4284 = 22×32×71×171

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 4284 and 4292.

LCM(4284,4292) = 22×32×71×171×291×371
LCM(4284,4292) = 4596732

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284

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 4284 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 4284 and 4292, than apply into the LCM equation.

GCF(4284,4292) = 4
LCM(4284,4292) = ( 4284 × 4292) / 4
LCM(4284,4292) = 18386928 / 4
LCM(4284,4292) = 4596732

Properties of LCM 4284 and 4292

(i) The LCM of 4292 and 4284 is associative

LCM of 4284 and 4292 = LCM of 4292 and 4284

Related Least Common Multiples of 4284

Related Least Common Multiples of 4292

Frequently Asked Questions on LCM of 4284 and 4292

1. What is the LCM of 4284 and 4292?

Answer: LCM of 4284 and 4292 is 4596732.

2. What are the Factors of 4284?

Answer: Factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284. There are 36 integers that are factors of 4284. The greatest factor of 4284 is 4284.

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 4284 and 4292?

Answer:

Least Common Multiple of 4284 and 4292 = 4596732

Step 1: Find the prime factorization of 4284

4284 = 2 x 2 x 3 x 3 x 7 x 17

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 = 4596732 = 2 x 2 x 3 x 3 x 7 x 17 x 29 x 37

Step 4: Therefore, the least common multiple of 4284 and 4292 is 4596732.