Least Common Multiple of 85281 and 85285

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

• Least Common Multiple of 85281 and 85285 by Prime method
• Least Common Multiple of 85281 and 85285 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 85281 and 85285. First we will calculate the prime factors of 85281 and 85285.

Prime Factorization of 85281

Prime factors of 85281 are 3, 7, 31,131. Prime factorization of 85281 in exponential form is:

85281 = 3¹×7¹×31¹×131¹

Prime Factorization of 85285

Prime factors of 85285 are 5, 37,461. Prime factorization of 85285 in exponential form is:

85285 = 5¹×37¹×461¹

Now multiplying the highest exponent prime factors to calculate the LCM of 85281 and 85285.

LCM(85281,85285) = 3¹×5¹×7¹×31¹×37¹×131¹×461¹
LCM(85281,85285) = 7273190085

Factors of 85281

List of positive integer factors of 85281 that divides 85281 without a remainder.

1, 3, 7, 21, 31, 93, 131, 217, 393, 651, 917, 2751, 4061, 12183, 28427, 85281

Factors of 85285

List of positive integer factors of 85285 that divides 85285 without a remainder.

1, 5, 37, 185, 461, 2305, 17057, 85285

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85281 and 85285, than apply into the LCM equation.

GCF(85281,85285) = 1
LCM(85281,85285) = ( 85281 × 85285) / 1
LCM(85281,85285) = 7273190085 / 1
LCM(85281,85285) = 7273190085

(i) The LCM of 85285 and 85281 is associative

LCM of 85281 and 85285 = LCM of 85285 and 85281

1. What is the LCM of 85281 and 85285?

Answer: LCM of 85281 and 85285 is 7273190085.

2. What are the Factors of 85281?

Answer: Factors of 85281 are 1, 3, 7, 21, 31, 93, 131, 217, 393, 651, 917, 2751, 4061, 12183, 28427, 85281. There are 16 integers that are factors of 85281. The greatest factor of 85281 is 85281.

3. What are the Factors of 85285?

Answer: Factors of 85285 are 1, 5, 37, 185, 461, 2305, 17057, 85285. There are 8 integers that are factors of 85285. The greatest factor of 85285 is 85285.

4. How to Find the LCM of 85281 and 85285?

Answer:

Least Common Multiple of 85281 and 85285 = 7273190085

Step 1: Find the prime factorization of 85281

85281 = 3 x 7 x 31 x 131

Step 2: Find the prime factorization of 85285

85285 = 5 x 37 x 461

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

LCM = 7273190085 = 3 x 5 x 7 x 31 x 37 x 131 x 461

Step 4: Therefore, the least common multiple of 85281 and 85285 is 7273190085.