Least Common Multiple of 5085 and 5093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5085 and 5093 the smallest integer that is 25897905 that is divisible by both numbers.

Least Common Multiple (LCM) of 5085 and 5093 is 25897905.

LCM(5085,5093) = 25897905

LCM of 5085 and 5093

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

LCM of:
and

Least Common Multiple of 5085 and 5093

LCM of 5085 and 5093 is 25897905

Least common multiple can be found by multiplying the highest exponent prime factors of 5085 and 5093. First we will calculate the prime factors of 5085 and 5093.

Prime Factorization of 5085


3 5085
3 1695
5 565
113 113
1

Prime factors of 5085 are 3, 5,113. Prime factorization of 5085 in exponential form is:

5085 = 32×51×1131

Prime Factorization of 5093


11 5093
463 463
1

Prime factors of 5093 are 11,463. Prime factorization of 5093 in exponential form is:

5093 = 111×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 5085 and 5093.

LCM(5085,5093) = 32×51×111×1131×4631
LCM(5085,5093) = 25897905

Factors of 5085

List of positive integer factors of 5085 that divides 5085 without a remainder.

1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085

Factors of 5093

List of positive integer factors of 5093 that divides 5093 without a remainder.

1, 11, 463, 5093

Least Common Multiple of 5085 and 5093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5085 and 5093, than apply into the LCM equation.

GCF(5085,5093) = 1
LCM(5085,5093) = ( 5085 × 5093) / 1
LCM(5085,5093) = 25897905 / 1
LCM(5085,5093) = 25897905

Properties of LCM 5085 and 5093

(i) The LCM of 5093 and 5085 is associative

LCM of 5085 and 5093 = LCM of 5093 and 5085

Related Least Common Multiples of 5085

Related Least Common Multiples of 5093

Frequently Asked Questions on LCM of 5085 and 5093

1. What is the LCM of 5085 and 5093?

Answer: LCM of 5085 and 5093 is 25897905.

2. What are the Factors of 5085?

Answer: Factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085. There are 12 integers that are factors of 5085. The greatest factor of 5085 is 5085.

3. What are the Factors of 5093?

Answer: Factors of 5093 are 1, 11, 463, 5093. There are 4 integers that are factors of 5093. The greatest factor of 5093 is 5093.

4. How to Find the LCM of 5085 and 5093?

Answer:

Least Common Multiple of 5085 and 5093 = 25897905

Step 1: Find the prime factorization of 5085

5085 = 3 x 3 x 5 x 113

Step 2: Find the prime factorization of 5093

5093 = 11 x 463

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

LCM = 25897905 = 3 x 3 x 5 x 11 x 113 x 463

Step 4: Therefore, the least common multiple of 5085 and 5093 is 25897905.