Least Common Multiple of 89138 and 89143

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

• Least Common Multiple of 89138 and 89143 by Prime method
• Least Common Multiple of 89138 and 89143 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89138 and 89143. First we will calculate the prime factors of 89138 and 89143.

Prime Factorization of 89138

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

89138 = 2¹×7¹×6367¹

Prime Factorization of 89143

Prime factors of 89143 are 97,919. Prime factorization of 89143 in exponential form is:

89143 = 97¹×919¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89138 and 89143.

LCM(89138,89143) = 2¹×7¹×97¹×919¹×6367¹
LCM(89138,89143) = 7946028734

Factors of 89138

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

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

Factors of 89143

List of positive integer factors of 89143 that divides 89143 without a remainder.

1, 97, 919, 89143

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89138 and 89143, than apply into the LCM equation.

GCF(89138,89143) = 1
LCM(89138,89143) = ( 89138 × 89143) / 1
LCM(89138,89143) = 7946028734 / 1
LCM(89138,89143) = 7946028734

(i) The LCM of 89143 and 89138 is associative

LCM of 89138 and 89143 = LCM of 89143 and 89138

1. What is the LCM of 89138 and 89143?

Answer: LCM of 89138 and 89143 is 7946028734.

2. 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.

3. What are the Factors of 89143?

Answer: Factors of 89143 are 1, 97, 919, 89143. There are 4 integers that are factors of 89143. The greatest factor of 89143 is 89143.

4. How to Find the LCM of 89138 and 89143?

Answer:

Least Common Multiple of 89138 and 89143 = 7946028734

Step 1: Find the prime factorization of 89138

89138 = 2 x 7 x 6367

Step 2: Find the prime factorization of 89143

89143 = 97 x 919

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

LCM = 7946028734 = 2 x 7 x 97 x 919 x 6367

Step 4: Therefore, the least common multiple of 89138 and 89143 is 7946028734.