Least Common Multiple of 89165 and 89171

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

• Least Common Multiple of 89165 and 89171 by Prime method
• Least Common Multiple of 89165 and 89171 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89165 and 89171. First we will calculate the prime factors of 89165 and 89171.

Prime Factorization of 89165

Prime factors of 89165 are 5, 17,1049. Prime factorization of 89165 in exponential form is:

89165 = 5¹×17¹×1049¹

Prime Factorization of 89171

Prime factors of 89171 are 23,3877. Prime factorization of 89171 in exponential form is:

89171 = 23¹×3877¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89165 and 89171.

LCM(89165,89171) = 5¹×17¹×23¹×1049¹×3877¹
LCM(89165,89171) = 7950932215

Factors of 89165

List of positive integer factors of 89165 that divides 89165 without a remainder.

1, 5, 17, 85, 1049, 5245, 17833, 89165

Factors of 89171

List of positive integer factors of 89171 that divides 89171 without a remainder.

1, 23, 3877, 89171

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89165 and 89171, than apply into the LCM equation.

GCF(89165,89171) = 1
LCM(89165,89171) = ( 89165 × 89171) / 1
LCM(89165,89171) = 7950932215 / 1
LCM(89165,89171) = 7950932215

(i) The LCM of 89171 and 89165 is associative

LCM of 89165 and 89171 = LCM of 89171 and 89165

1. What is the LCM of 89165 and 89171?

Answer: LCM of 89165 and 89171 is 7950932215.

2. What are the Factors of 89165?

Answer: Factors of 89165 are 1, 5, 17, 85, 1049, 5245, 17833, 89165. There are 8 integers that are factors of 89165. The greatest factor of 89165 is 89165.

3. What are the Factors of 89171?

Answer: Factors of 89171 are 1, 23, 3877, 89171. There are 4 integers that are factors of 89171. The greatest factor of 89171 is 89171.

4. How to Find the LCM of 89165 and 89171?

Answer:

Least Common Multiple of 89165 and 89171 = 7950932215

Step 1: Find the prime factorization of 89165

89165 = 5 x 17 x 1049

Step 2: Find the prime factorization of 89171

89171 = 23 x 3877

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

LCM = 7950932215 = 5 x 17 x 23 x 1049 x 3877

Step 4: Therefore, the least common multiple of 89165 and 89171 is 7950932215.