Least Common Multiple of 89133 and 89134

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

• Least Common Multiple of 89133 and 89134 by Prime method
• Least Common Multiple of 89133 and 89134 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89133 and 89134. First we will calculate the prime factors of 89133 and 89134.

Prime Factorization of 89133

Prime factors of 89133 are 3, 11, 37,73. Prime factorization of 89133 in exponential form is:

89133 = 3¹×11¹×37¹×73¹

Prime Factorization of 89134

Prime factors of 89134 are 2, 41,1087. Prime factorization of 89134 in exponential form is:

89134 = 2¹×41¹×1087¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89133 and 89134.

LCM(89133,89134) = 2¹×3¹×11¹×37¹×41¹×73¹×1087¹
LCM(89133,89134) = 7944780822

Factors of 89133

List of positive integer factors of 89133 that divides 89133 without a remainder.

1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133

Factors of 89134

List of positive integer factors of 89134 that divides 89134 without a remainder.

1, 2, 41, 82, 1087, 2174, 44567, 89134

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89133 and 89134, than apply into the LCM equation.

GCF(89133,89134) = 1
LCM(89133,89134) = ( 89133 × 89134) / 1
LCM(89133,89134) = 7944780822 / 1
LCM(89133,89134) = 7944780822

(i) The LCM of 89134 and 89133 is associative

LCM of 89133 and 89134 = LCM of 89134 and 89133

1. What is the LCM of 89133 and 89134?

Answer: LCM of 89133 and 89134 is 7944780822.

2. What are the Factors of 89133?

Answer: Factors of 89133 are 1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133. There are 16 integers that are factors of 89133. The greatest factor of 89133 is 89133.

3. What are the Factors of 89134?

Answer: Factors of 89134 are 1, 2, 41, 82, 1087, 2174, 44567, 89134. There are 8 integers that are factors of 89134. The greatest factor of 89134 is 89134.

4. How to Find the LCM of 89133 and 89134?

Answer:

Least Common Multiple of 89133 and 89134 = 7944780822

Step 1: Find the prime factorization of 89133

89133 = 3 x 11 x 37 x 73

Step 2: Find the prime factorization of 89134

89134 = 2 x 41 x 1087

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

LCM = 7944780822 = 2 x 3 x 11 x 37 x 41 x 73 x 1087

Step 4: Therefore, the least common multiple of 89133 and 89134 is 7944780822.