Least Common Multiple of 85273 and 85281

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

• Least Common Multiple of 85273 and 85281 by Prime method
• Least Common Multiple of 85273 and 85281 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 85273 and 85281. First we will calculate the prime factors of 85273 and 85281.

Prime Factorization of 85273

Prime factors of 85273 are 269,317. Prime factorization of 85273 in exponential form is:

85273 = 269¹×317¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 85273 and 85281.

LCM(85273,85281) = 3¹×7¹×31¹×131¹×269¹×317¹
LCM(85273,85281) = 7272166713

Factors of 85273

List of positive integer factors of 85273 that divides 85273 without a remainder.

1, 269, 317, 85273

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85273 and 85281, than apply into the LCM equation.

GCF(85273,85281) = 1
LCM(85273,85281) = ( 85273 × 85281) / 1
LCM(85273,85281) = 7272166713 / 1
LCM(85273,85281) = 7272166713

(i) The LCM of 85281 and 85273 is associative

LCM of 85273 and 85281 = LCM of 85281 and 85273

1. What is the LCM of 85273 and 85281?

Answer: LCM of 85273 and 85281 is 7272166713.

2. What are the Factors of 85273?

Answer: Factors of 85273 are 1, 269, 317, 85273. There are 4 integers that are factors of 85273. The greatest factor of 85273 is 85273.

3. 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.

4. How to Find the LCM of 85273 and 85281?

Answer:

Least Common Multiple of 85273 and 85281 = 7272166713

Step 1: Find the prime factorization of 85273

85273 = 269 x 317

Step 2: Find the prime factorization of 85281

85281 = 3 x 7 x 31 x 131

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

LCM = 7272166713 = 3 x 7 x 31 x 131 x 269 x 317

Step 4: Therefore, the least common multiple of 85273 and 85281 is 7272166713.