Least Common Multiple of 284 and 292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 284 and 292 the smallest integer that is 20732 that is divisible by both numbers.

Least Common Multiple (LCM) of 284 and 292 is 20732.

LCM(284,292) = 20732

LCM of 284 and 292

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

LCM of:
and

Least Common Multiple of 284 and 292

LCM of 284 and 292 is 20732

Least common multiple can be found by multiplying the highest exponent prime factors of 284 and 292. First we will calculate the prime factors of 284 and 292.

Prime Factorization of 284


2 284
2 142
71 71
1

Prime factors of 284 are 2,71. Prime factorization of 284 in exponential form is:

284 = 22×711

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

Now multiplying the highest exponent prime factors to calculate the LCM of 284 and 292.

LCM(284,292) = 22×711×731
LCM(284,292) = 20732

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Least Common Multiple of 284 and 292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 284 and 292, than apply into the LCM equation.

GCF(284,292) = 4
LCM(284,292) = ( 284 × 292) / 4
LCM(284,292) = 82928 / 4
LCM(284,292) = 20732

Properties of LCM 284 and 292

(i) The LCM of 292 and 284 is associative

LCM of 284 and 292 = LCM of 292 and 284

Related Least Common Multiples of 284

Related Least Common Multiples of 292

Frequently Asked Questions on LCM of 284 and 292

1. What is the LCM of 284 and 292?

Answer: LCM of 284 and 292 is 20732.

2. What are the Factors of 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

3. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

4. How to Find the LCM of 284 and 292?

Answer:

Least Common Multiple of 284 and 292 = 20732

Step 1: Find the prime factorization of 284

284 = 2 x 2 x 71

Step 2: Find the prime factorization of 292

292 = 2 x 2 x 73

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

LCM = 20732 = 2 x 2 x 71 x 73

Step 4: Therefore, the least common multiple of 284 and 292 is 20732.