Least Common Multiple of 285 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 285 and 292 the smallest integer that is 83220 that is divisible by both numbers.

Least Common Multiple (LCM) of 285 and 292 is 83220.

LCM(285,292) = 83220

LCM of 285 and 292

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

LCM of:
and

Least Common Multiple of 285 and 292

LCM of 285 and 292 is 83220

Least common multiple can be found by multiplying the highest exponent prime factors of 285 and 292. First we will calculate the prime factors of 285 and 292.

Prime Factorization of 285


3 285
5 95
19 19
1

Prime factors of 285 are 3, 5,19. Prime factorization of 285 in exponential form is:

285 = 31×51×191

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 285 and 292.

LCM(285,292) = 22×31×51×191×731
LCM(285,292) = 83220

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 285 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 285 and 292, than apply into the LCM equation.

GCF(285,292) = 1
LCM(285,292) = ( 285 × 292) / 1
LCM(285,292) = 83220 / 1
LCM(285,292) = 83220

Properties of LCM 285 and 292

(i) The LCM of 292 and 285 is associative

LCM of 285 and 292 = LCM of 292 and 285

Related Least Common Multiples of 285

Related Least Common Multiples of 292

Frequently Asked Questions on LCM of 285 and 292

1. What is the LCM of 285 and 292?

Answer: LCM of 285 and 292 is 83220.

2. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

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 285 and 292?

Answer:

Least Common Multiple of 285 and 292 = 83220

Step 1: Find the prime factorization of 285

285 = 3 x 5 x 19

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 = 83220 = 2 x 2 x 3 x 5 x 19 x 73

Step 4: Therefore, the least common multiple of 285 and 292 is 83220.