Least Common Multiple of 85277 and 85285

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

• Least Common Multiple of 85277 and 85285 by Prime method
• Least Common Multiple of 85277 and 85285 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 85277 and 85285. First we will calculate the prime factors of 85277 and 85285.

Prime Factorization of 85277

Prime factors of 85277 are 53,1609. Prime factorization of 85277 in exponential form is:

85277 = 53¹×1609¹

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 85277 and 85285.

LCM(85277,85285) = 5¹×37¹×53¹×461¹×1609¹
LCM(85277,85285) = 7272848945

Factors of 85277

List of positive integer factors of 85277 that divides 85277 without a remainder.

1, 53, 1609, 85277

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 85277 and 85285, than apply into the LCM equation.

GCF(85277,85285) = 1
LCM(85277,85285) = ( 85277 × 85285) / 1
LCM(85277,85285) = 7272848945 / 1
LCM(85277,85285) = 7272848945

(i) The LCM of 85285 and 85277 is associative

LCM of 85277 and 85285 = LCM of 85285 and 85277

1. What is the LCM of 85277 and 85285?

Answer: LCM of 85277 and 85285 is 7272848945.

2. What are the Factors of 85277?

Answer: Factors of 85277 are 1, 53, 1609, 85277. There are 4 integers that are factors of 85277. The greatest factor of 85277 is 85277.

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 85277 and 85285?

Answer:

Least Common Multiple of 85277 and 85285 = 7272848945

Step 1: Find the prime factorization of 85277

85277 = 53 x 1609

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 = 7272848945 = 5 x 37 x 53 x 461 x 1609

Step 4: Therefore, the least common multiple of 85277 and 85285 is 7272848945.