Least Common Multiple of 89165 and 89172

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

• Least Common Multiple of 89165 and 89172 by Prime method
• Least Common Multiple of 89165 and 89172 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89165 and 89172. First we will calculate the prime factors of 89165 and 89172.

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 89172

Prime factors of 89172 are 2, 3,2477. Prime factorization of 89172 in exponential form is:

89172 = 2²×3²×2477¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89165 and 89172.

LCM(89165,89172) = 2²×3²×5¹×17¹×1049¹×2477¹
LCM(89165,89172) = 7951021380

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 89172

List of positive integer factors of 89172 that divides 89172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2477, 4954, 7431, 9908, 14862, 22293, 29724, 44586, 89172

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89165 and 89172, than apply into the LCM equation.

GCF(89165,89172) = 1
LCM(89165,89172) = ( 89165 × 89172) / 1
LCM(89165,89172) = 7951021380 / 1
LCM(89165,89172) = 7951021380

(i) The LCM of 89172 and 89165 is associative

LCM of 89165 and 89172 = LCM of 89172 and 89165

1. What is the LCM of 89165 and 89172?

Answer: LCM of 89165 and 89172 is 7951021380.

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 89172?

Answer: Factors of 89172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 2477, 4954, 7431, 9908, 14862, 22293, 29724, 44586, 89172. There are 18 integers that are factors of 89172. The greatest factor of 89172 is 89172.

4. How to Find the LCM of 89165 and 89172?

Answer:

Least Common Multiple of 89165 and 89172 = 7951021380

Step 1: Find the prime factorization of 89165

89165 = 5 x 17 x 1049

Step 2: Find the prime factorization of 89172

89172 = 2 x 2 x 3 x 3 x 2477

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

LCM = 7951021380 = 2 x 2 x 3 x 3 x 5 x 17 x 1049 x 2477

Step 4: Therefore, the least common multiple of 89165 and 89172 is 7951021380.