Least Common Multiple of 85261 and 85268

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

• Least Common Multiple of 85261 and 85268 by Prime method
• Least Common Multiple of 85261 and 85268 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 85261 and 85268. First we will calculate the prime factors of 85261 and 85268.

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 85268

Prime factors of 85268 are 2,21317. Prime factorization of 85268 in exponential form is:

85268 = 2²×21317¹

Now multiplying the highest exponent prime factors to calculate the LCM of 85261 and 85268.

LCM(85261,85268) = 2²×11¹×23¹×337¹×21317¹
LCM(85261,85268) = 7270034948

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 85268

List of positive integer factors of 85268 that divides 85268 without a remainder.

1, 2, 4, 21317, 42634, 85268

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85261 and 85268, than apply into the LCM equation.

GCF(85261,85268) = 1
LCM(85261,85268) = ( 85261 × 85268) / 1
LCM(85261,85268) = 7270034948 / 1
LCM(85261,85268) = 7270034948

(i) The LCM of 85268 and 85261 is associative

LCM of 85261 and 85268 = LCM of 85268 and 85261

1. What is the LCM of 85261 and 85268?

Answer: LCM of 85261 and 85268 is 7270034948.

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 85268?

Answer: Factors of 85268 are 1, 2, 4, 21317, 42634, 85268. There are 6 integers that are factors of 85268. The greatest factor of 85268 is 85268.

4. How to Find the LCM of 85261 and 85268?

Answer:

Least Common Multiple of 85261 and 85268 = 7270034948

Step 1: Find the prime factorization of 85261

85261 = 11 x 23 x 337

Step 2: Find the prime factorization of 85268

85268 = 2 x 2 x 21317

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

LCM = 7270034948 = 2 x 2 x 11 x 23 x 337 x 21317

Step 4: Therefore, the least common multiple of 85261 and 85268 is 7270034948.