Least Common Multiple of 89117 and 89125

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

• Least Common Multiple of 89117 and 89125 by Prime method
• Least Common Multiple of 89117 and 89125 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 89117 and 89125. First we will calculate the prime factors of 89117 and 89125.

Prime Factorization of 89117

Prime factors of 89117 are 7, 29,439. Prime factorization of 89117 in exponential form is:

89117 = 7¹×29¹×439¹

Prime Factorization of 89125

Prime factors of 89125 are 5, 23,31. Prime factorization of 89125 in exponential form is:

89125 = 5³×23¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 89117 and 89125.

LCM(89117,89125) = 5³×7¹×23¹×29¹×31¹×439¹
LCM(89117,89125) = 7942552625

Factors of 89117

List of positive integer factors of 89117 that divides 89117 without a remainder.

1, 7, 29, 203, 439, 3073, 12731, 89117

Factors of 89125

List of positive integer factors of 89125 that divides 89125 without a remainder.

1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89117 and 89125, than apply into the LCM equation.

GCF(89117,89125) = 1
LCM(89117,89125) = ( 89117 × 89125) / 1
LCM(89117,89125) = 7942552625 / 1
LCM(89117,89125) = 7942552625

(i) The LCM of 89125 and 89117 is associative

LCM of 89117 and 89125 = LCM of 89125 and 89117

1. What is the LCM of 89117 and 89125?

Answer: LCM of 89117 and 89125 is 7942552625.

2. What are the Factors of 89117?

Answer: Factors of 89117 are 1, 7, 29, 203, 439, 3073, 12731, 89117. There are 8 integers that are factors of 89117. The greatest factor of 89117 is 89117.

3. What are the Factors of 89125?

Answer: Factors of 89125 are 1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125. There are 16 integers that are factors of 89125. The greatest factor of 89125 is 89125.

4. How to Find the LCM of 89117 and 89125?

Answer:

Least Common Multiple of 89117 and 89125 = 7942552625

Step 1: Find the prime factorization of 89117

89117 = 7 x 29 x 439

Step 2: Find the prime factorization of 89125

89125 = 5 x 5 x 5 x 23 x 31

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

LCM = 7942552625 = 5 x 5 x 5 x 7 x 23 x 29 x 31 x 439

Step 4: Therefore, the least common multiple of 89117 and 89125 is 7942552625.