Least Common Multiple of 89177 and 89182

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

• Least Common Multiple of 89177 and 89182 by Prime method
• Least Common Multiple of 89177 and 89182 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89177 and 89182. First we will calculate the prime factors of 89177 and 89182.

Prime Factorization of 89177

Prime factors of 89177 are 11,67. Prime factorization of 89177 in exponential form is:

89177 = 11³×67¹

Prime Factorization of 89182

Prime factors of 89182 are 2, 17, 43,61. Prime factorization of 89182 in exponential form is:

89182 = 2¹×17¹×43¹×61¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89177 and 89182.

LCM(89177,89182) = 2¹×11³×17¹×43¹×61¹×67¹
LCM(89177,89182) = 7952983214

Factors of 89177

List of positive integer factors of 89177 that divides 89177 without a remainder.

1, 11, 67, 121, 737, 1331, 8107, 89177

Factors of 89182

List of positive integer factors of 89182 that divides 89182 without a remainder.

1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591, 89182

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89177 and 89182, than apply into the LCM equation.

GCF(89177,89182) = 1
LCM(89177,89182) = ( 89177 × 89182) / 1
LCM(89177,89182) = 7952983214 / 1
LCM(89177,89182) = 7952983214

(i) The LCM of 89182 and 89177 is associative

LCM of 89177 and 89182 = LCM of 89182 and 89177

1. What is the LCM of 89177 and 89182?

Answer: LCM of 89177 and 89182 is 7952983214.

2. What are the Factors of 89177?

Answer: Factors of 89177 are 1, 11, 67, 121, 737, 1331, 8107, 89177. There are 8 integers that are factors of 89177. The greatest factor of 89177 is 89177.

3. What are the Factors of 89182?

Answer: Factors of 89182 are 1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591, 89182. There are 16 integers that are factors of 89182. The greatest factor of 89182 is 89182.

4. How to Find the LCM of 89177 and 89182?

Answer:

Least Common Multiple of 89177 and 89182 = 7952983214

Step 1: Find the prime factorization of 89177

89177 = 11 x 11 x 11 x 67

Step 2: Find the prime factorization of 89182

89182 = 2 x 17 x 43 x 61

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

LCM = 7952983214 = 2 x 11 x 11 x 11 x 17 x 43 x 61 x 67

Step 4: Therefore, the least common multiple of 89177 and 89182 is 7952983214.