Least Common Multiple of 9085 and 9091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9085 and 9091 the smallest integer that is 82591735 that is divisible by both numbers.

Least Common Multiple (LCM) of 9085 and 9091 is 82591735.

LCM(9085,9091) = 82591735

LCM of 9085 and 9091

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

LCM of:
and

Least Common Multiple of 9085 and 9091

LCM of 9085 and 9091 is 82591735

Least common multiple can be found by multiplying the highest exponent prime factors of 9085 and 9091. First we will calculate the prime factors of 9085 and 9091.

Prime Factorization of 9085


5 9085
23 1817
79 79
1

Prime factors of 9085 are 5, 23,79. Prime factorization of 9085 in exponential form is:

9085 = 51×231×791

Prime Factorization of 9091


9091 9091
1

Prime factors of 9091 are 9091. Prime factorization of 9091 in exponential form is:

9091 = 90911

Now multiplying the highest exponent prime factors to calculate the LCM of 9085 and 9091.

LCM(9085,9091) = 51×231×791×90911
LCM(9085,9091) = 82591735

Factors of 9085

List of positive integer factors of 9085 that divides 9085 without a remainder.

1, 5, 23, 79, 115, 395, 1817, 9085

Factors of 9091

List of positive integer factors of 9091 that divides 9091 without a remainder.

1, 9091

Least Common Multiple of 9085 and 9091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9085 and 9091, than apply into the LCM equation.

GCF(9085,9091) = 1
LCM(9085,9091) = ( 9085 × 9091) / 1
LCM(9085,9091) = 82591735 / 1
LCM(9085,9091) = 82591735

Properties of LCM 9085 and 9091

(i) The LCM of 9091 and 9085 is associative

LCM of 9085 and 9091 = LCM of 9091 and 9085

Related Least Common Multiples of 9085

Related Least Common Multiples of 9091

Frequently Asked Questions on LCM of 9085 and 9091

1. What is the LCM of 9085 and 9091?

Answer: LCM of 9085 and 9091 is 82591735.

2. What are the Factors of 9085?

Answer: Factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085. There are 8 integers that are factors of 9085. The greatest factor of 9085 is 9085.

3. What are the Factors of 9091?

Answer: Factors of 9091 are 1, 9091. There are 2 integers that are factors of 9091. The greatest factor of 9091 is 9091.

4. How to Find the LCM of 9085 and 9091?

Answer:

Least Common Multiple of 9085 and 9091 = 82591735

Step 1: Find the prime factorization of 9085

9085 = 5 x 23 x 79

Step 2: Find the prime factorization of 9091

9091 = 9091

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

LCM = 82591735 = 5 x 23 x 79 x 9091

Step 4: Therefore, the least common multiple of 9085 and 9091 is 82591735.