Least Common Multiple of 89113 and 89114

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

• Least Common Multiple of 89113 and 89114 by Prime method
• Least Common Multiple of 89113 and 89114 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89113 and 89114. First we will calculate the prime factors of 89113 and 89114.

Prime Factorization of 89113

Prime factors of 89113 are 89113. Prime factorization of 89113 in exponential form is:

89113 = 89113¹

Prime Factorization of 89114

Prime factors of 89114 are 2, 17,2621. Prime factorization of 89114 in exponential form is:

89114 = 2¹×17¹×2621¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89113 and 89114.

LCM(89113,89114) = 2¹×17¹×2621¹×89113¹
LCM(89113,89114) = 7941215882

Factors of 89113

List of positive integer factors of 89113 that divides 89113 without a remainder.

1, 89113

Factors of 89114

List of positive integer factors of 89114 that divides 89114 without a remainder.

1, 2, 17, 34, 2621, 5242, 44557, 89114

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89113 and 89114, than apply into the LCM equation.

GCF(89113,89114) = 1
LCM(89113,89114) = ( 89113 × 89114) / 1
LCM(89113,89114) = 7941215882 / 1
LCM(89113,89114) = 7941215882

(i) The LCM of 89114 and 89113 is associative

LCM of 89113 and 89114 = LCM of 89114 and 89113

1. What is the LCM of 89113 and 89114?

Answer: LCM of 89113 and 89114 is 7941215882.

2. What are the Factors of 89113?

Answer: Factors of 89113 are 1, 89113. There are 2 integers that are factors of 89113. The greatest factor of 89113 is 89113.

3. What are the Factors of 89114?

Answer: Factors of 89114 are 1, 2, 17, 34, 2621, 5242, 44557, 89114. There are 8 integers that are factors of 89114. The greatest factor of 89114 is 89114.

4. How to Find the LCM of 89113 and 89114?

Answer:

Least Common Multiple of 89113 and 89114 = 7941215882

Step 1: Find the prime factorization of 89113

89113 = 89113

Step 2: Find the prime factorization of 89114

89114 = 2 x 17 x 2621

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

LCM = 7941215882 = 2 x 17 x 2621 x 89113

Step 4: Therefore, the least common multiple of 89113 and 89114 is 7941215882.