Least Common Multiple of 89113 and 89118

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

• Least Common Multiple of 89113 and 89118 by Prime method
• Least Common Multiple of 89113 and 89118 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89113 and 89118. First we will calculate the prime factors of 89113 and 89118.

Prime Factorization of 89113

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

89113 = 89113¹

Prime Factorization of 89118

Prime factors of 89118 are 2, 3,4951. Prime factorization of 89118 in exponential form is:

89118 = 2¹×3²×4951¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89113 and 89118.

LCM(89113,89118) = 2¹×3²×4951¹×89113¹
LCM(89113,89118) = 7941572334

Factors of 89113

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

1, 89113

Factors of 89118

List of positive integer factors of 89118 that divides 89118 without a remainder.

1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89113 and 89118, than apply into the LCM equation.

GCF(89113,89118) = 1
LCM(89113,89118) = ( 89113 × 89118) / 1
LCM(89113,89118) = 7941572334 / 1
LCM(89113,89118) = 7941572334

(i) The LCM of 89118 and 89113 is associative

LCM of 89113 and 89118 = LCM of 89118 and 89113

1. What is the LCM of 89113 and 89118?

Answer: LCM of 89113 and 89118 is 7941572334.

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 89118?

Answer: Factors of 89118 are 1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118. There are 12 integers that are factors of 89118. The greatest factor of 89118 is 89118.

4. How to Find the LCM of 89113 and 89118?

Answer:

Least Common Multiple of 89113 and 89118 = 7941572334

Step 1: Find the prime factorization of 89113

89113 = 89113

Step 2: Find the prime factorization of 89118

89118 = 2 x 3 x 3 x 4951

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

LCM = 7941572334 = 2 x 3 x 3 x 4951 x 89113

Step 4: Therefore, the least common multiple of 89113 and 89118 is 7941572334.