Least Common Multiple of 7085 and 7089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7085 and 7089 the smallest integer that is 50225565 that is divisible by both numbers.

Least Common Multiple (LCM) of 7085 and 7089 is 50225565.

LCM(7085,7089) = 50225565

LCM of 7085 and 7089

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

LCM of:
and

Least Common Multiple of 7085 and 7089

LCM of 7085 and 7089 is 50225565

Least common multiple can be found by multiplying the highest exponent prime factors of 7085 and 7089. First we will calculate the prime factors of 7085 and 7089.

Prime Factorization of 7085


5 7085
13 1417
109 109
1

Prime factors of 7085 are 5, 13,109. Prime factorization of 7085 in exponential form is:

7085 = 51×131×1091

Prime Factorization of 7089


3 7089
17 2363
139 139
1

Prime factors of 7089 are 3, 17,139. Prime factorization of 7089 in exponential form is:

7089 = 31×171×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7089.

LCM(7085,7089) = 31×51×131×171×1091×1391
LCM(7085,7089) = 50225565

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1, 5, 13, 65, 109, 545, 1417, 7085

Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1, 3, 17, 51, 139, 417, 2363, 7089

Least Common Multiple of 7085 and 7089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7089, than apply into the LCM equation.

GCF(7085,7089) = 1
LCM(7085,7089) = ( 7085 × 7089) / 1
LCM(7085,7089) = 50225565 / 1
LCM(7085,7089) = 50225565

Properties of LCM 7085 and 7089

(i) The LCM of 7089 and 7085 is associative

LCM of 7085 and 7089 = LCM of 7089 and 7085

Related Least Common Multiples of 7085

Related Least Common Multiples of 7089

Frequently Asked Questions on LCM of 7085 and 7089

1. What is the LCM of 7085 and 7089?

Answer: LCM of 7085 and 7089 is 50225565.

2. What are the Factors of 7085?

Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.

3. What are the Factors of 7089?

Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.

4. How to Find the LCM of 7085 and 7089?

Answer:

Least Common Multiple of 7085 and 7089 = 50225565

Step 1: Find the prime factorization of 7085

7085 = 5 x 13 x 109

Step 2: Find the prime factorization of 7089

7089 = 3 x 17 x 139

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

LCM = 50225565 = 3 x 5 x 13 x 17 x 109 x 139

Step 4: Therefore, the least common multiple of 7085 and 7089 is 50225565.