Least Common Multiple of 85261 and 85265

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

• Least Common Multiple of 85261 and 85265 by Prime method
• Least Common Multiple of 85261 and 85265 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 85261 and 85265. First we will calculate the prime factors of 85261 and 85265.

Prime Factorization of 85261

Prime factors of 85261 are 11, 23,337. Prime factorization of 85261 in exponential form is:

85261 = 11¹×23¹×337¹

Prime Factorization of 85265

Prime factors of 85265 are 5,17053. Prime factorization of 85265 in exponential form is:

85265 = 5¹×17053¹

Now multiplying the highest exponent prime factors to calculate the LCM of 85261 and 85265.

LCM(85261,85265) = 5¹×11¹×23¹×337¹×17053¹
LCM(85261,85265) = 7269779165

Factors of 85261

List of positive integer factors of 85261 that divides 85261 without a remainder.

1, 11, 23, 253, 337, 3707, 7751, 85261

Factors of 85265

List of positive integer factors of 85265 that divides 85265 without a remainder.

1, 5, 17053, 85265

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85261 and 85265, than apply into the LCM equation.

GCF(85261,85265) = 1
LCM(85261,85265) = ( 85261 × 85265) / 1
LCM(85261,85265) = 7269779165 / 1
LCM(85261,85265) = 7269779165

(i) The LCM of 85265 and 85261 is associative

LCM of 85261 and 85265 = LCM of 85265 and 85261

1. What is the LCM of 85261 and 85265?

Answer: LCM of 85261 and 85265 is 7269779165.

2. What are the Factors of 85261?

Answer: Factors of 85261 are 1, 11, 23, 253, 337, 3707, 7751, 85261. There are 8 integers that are factors of 85261. The greatest factor of 85261 is 85261.

3. What are the Factors of 85265?

Answer: Factors of 85265 are 1, 5, 17053, 85265. There are 4 integers that are factors of 85265. The greatest factor of 85265 is 85265.

4. How to Find the LCM of 85261 and 85265?

Answer:

Least Common Multiple of 85261 and 85265 = 7269779165

Step 1: Find the prime factorization of 85261

85261 = 11 x 23 x 337

Step 2: Find the prime factorization of 85265

85265 = 5 x 17053

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

LCM = 7269779165 = 5 x 11 x 23 x 337 x 17053

Step 4: Therefore, the least common multiple of 85261 and 85265 is 7269779165.