Least Common Multiple of 89155 and 89161

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

• Least Common Multiple of 89155 and 89161 by Prime method
• Least Common Multiple of 89155 and 89161 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89155 and 89161. First we will calculate the prime factors of 89155 and 89161.

Prime Factorization of 89155

Prime factors of 89155 are 5, 11,1621. Prime factorization of 89155 in exponential form is:

89155 = 5¹×11¹×1621¹

Prime Factorization of 89161

Prime factors of 89161 are 163,547. Prime factorization of 89161 in exponential form is:

89161 = 163¹×547¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89155 and 89161.

LCM(89155,89161) = 5¹×11¹×163¹×547¹×1621¹
LCM(89155,89161) = 7949148955

Factors of 89155

List of positive integer factors of 89155 that divides 89155 without a remainder.

1, 5, 11, 55, 1621, 8105, 17831, 89155

Factors of 89161

List of positive integer factors of 89161 that divides 89161 without a remainder.

1, 163, 547, 89161

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89155 and 89161, than apply into the LCM equation.

GCF(89155,89161) = 1
LCM(89155,89161) = ( 89155 × 89161) / 1
LCM(89155,89161) = 7949148955 / 1
LCM(89155,89161) = 7949148955

(i) The LCM of 89161 and 89155 is associative

LCM of 89155 and 89161 = LCM of 89161 and 89155

1. What is the LCM of 89155 and 89161?

Answer: LCM of 89155 and 89161 is 7949148955.

2. What are the Factors of 89155?

Answer: Factors of 89155 are 1, 5, 11, 55, 1621, 8105, 17831, 89155. There are 8 integers that are factors of 89155. The greatest factor of 89155 is 89155.

3. What are the Factors of 89161?

Answer: Factors of 89161 are 1, 163, 547, 89161. There are 4 integers that are factors of 89161. The greatest factor of 89161 is 89161.

4. How to Find the LCM of 89155 and 89161?

Answer:

Least Common Multiple of 89155 and 89161 = 7949148955

Step 1: Find the prime factorization of 89155

89155 = 5 x 11 x 1621

Step 2: Find the prime factorization of 89161

89161 = 163 x 547

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

LCM = 7949148955 = 5 x 11 x 163 x 547 x 1621

Step 4: Therefore, the least common multiple of 89155 and 89161 is 7949148955.