Least Common Multiple of 89182 and 89189

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

• Least Common Multiple of 89182 and 89189 by Prime method
• Least Common Multiple of 89182 and 89189 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89182 and 89189. First we will calculate the prime factors of 89182 and 89189.

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

Prime Factorization of 89189

Prime factors of 89189 are 89189. Prime factorization of 89189 in exponential form is:

89189 = 89189¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89182 and 89189.

LCM(89182,89189) = 2¹×17¹×43¹×61¹×89189¹
LCM(89182,89189) = 7954053398

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

Factors of 89189

List of positive integer factors of 89189 that divides 89189 without a remainder.

1, 89189

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89182 and 89189, than apply into the LCM equation.

GCF(89182,89189) = 1
LCM(89182,89189) = ( 89182 × 89189) / 1
LCM(89182,89189) = 7954053398 / 1
LCM(89182,89189) = 7954053398

(i) The LCM of 89189 and 89182 is associative

LCM of 89182 and 89189 = LCM of 89189 and 89182

1. What is the LCM of 89182 and 89189?

Answer: LCM of 89182 and 89189 is 7954053398.

2. 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.

3. What are the Factors of 89189?

Answer: Factors of 89189 are 1, 89189. There are 2 integers that are factors of 89189. The greatest factor of 89189 is 89189.

4. How to Find the LCM of 89182 and 89189?

Answer:

Least Common Multiple of 89182 and 89189 = 7954053398

Step 1: Find the prime factorization of 89182

89182 = 2 x 17 x 43 x 61

Step 2: Find the prime factorization of 89189

89189 = 89189

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

LCM = 7954053398 = 2 x 17 x 43 x 61 x 89189

Step 4: Therefore, the least common multiple of 89182 and 89189 is 7954053398.