Least Common Multiple of 89133 and 89138

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

• Least Common Multiple of 89133 and 89138 by Prime method
• Least Common Multiple of 89133 and 89138 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89133 and 89138. First we will calculate the prime factors of 89133 and 89138.

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 89138

Prime factors of 89138 are 2, 7,6367. Prime factorization of 89138 in exponential form is:

89138 = 2¹×7¹×6367¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89133 and 89138.

LCM(89133,89138) = 2¹×3¹×7¹×11¹×37¹×73¹×6367¹
LCM(89133,89138) = 7945137354

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 89138

List of positive integer factors of 89138 that divides 89138 without a remainder.

1, 2, 7, 14, 6367, 12734, 44569, 89138

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89133 and 89138, than apply into the LCM equation.

GCF(89133,89138) = 1
LCM(89133,89138) = ( 89133 × 89138) / 1
LCM(89133,89138) = 7945137354 / 1
LCM(89133,89138) = 7945137354

(i) The LCM of 89138 and 89133 is associative

LCM of 89133 and 89138 = LCM of 89138 and 89133

1. What is the LCM of 89133 and 89138?

Answer: LCM of 89133 and 89138 is 7945137354.

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 89138?

Answer: Factors of 89138 are 1, 2, 7, 14, 6367, 12734, 44569, 89138. There are 8 integers that are factors of 89138. The greatest factor of 89138 is 89138.

4. How to Find the LCM of 89133 and 89138?

Answer:

Least Common Multiple of 89133 and 89138 = 7945137354

Step 1: Find the prime factorization of 89133

89133 = 3 x 11 x 37 x 73

Step 2: Find the prime factorization of 89138

89138 = 2 x 7 x 6367

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

LCM = 7945137354 = 2 x 3 x 7 x 11 x 37 x 73 x 6367

Step 4: Therefore, the least common multiple of 89133 and 89138 is 7945137354.