Least Common Multiple of 5086 and 5094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5086 and 5094 the smallest integer that is 12954042 that is divisible by both numbers.

Least Common Multiple (LCM) of 5086 and 5094 is 12954042.

LCM(5086,5094) = 12954042

LCM of 5086 and 5094

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

LCM of:
and

Least Common Multiple of 5086 and 5094

LCM of 5086 and 5094 is 12954042

Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5094. First we will calculate the prime factors of 5086 and 5094.

Prime Factorization of 5086


2 5086
2543 2543
1

Prime factors of 5086 are 2,2543. Prime factorization of 5086 in exponential form is:

5086 = 21×25431

Prime Factorization of 5094


2 5094
3 2547
3 849
283 283
1

Prime factors of 5094 are 2, 3,283. Prime factorization of 5094 in exponential form is:

5094 = 21×32×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5086 and 5094.

LCM(5086,5094) = 21×32×2831×25431
LCM(5086,5094) = 12954042

Factors of 5086

List of positive integer factors of 5086 that divides 5086 without a remainder.

1, 2, 2543, 5086

Factors of 5094

List of positive integer factors of 5094 that divides 5094 without a remainder.

1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094

Least Common Multiple of 5086 and 5094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5086 and 5094, than apply into the LCM equation.

GCF(5086,5094) = 2
LCM(5086,5094) = ( 5086 × 5094) / 2
LCM(5086,5094) = 25908084 / 2
LCM(5086,5094) = 12954042

Properties of LCM 5086 and 5094

(i) The LCM of 5094 and 5086 is associative

LCM of 5086 and 5094 = LCM of 5094 and 5086

Related Least Common Multiples of 5086

Related Least Common Multiples of 5094

Frequently Asked Questions on LCM of 5086 and 5094

1. What is the LCM of 5086 and 5094?

Answer: LCM of 5086 and 5094 is 12954042.

2. What are the Factors of 5086?

Answer: Factors of 5086 are 1, 2, 2543, 5086. There are 4 integers that are factors of 5086. The greatest factor of 5086 is 5086.

3. What are the Factors of 5094?

Answer: Factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094. There are 12 integers that are factors of 5094. The greatest factor of 5094 is 5094.

4. How to Find the LCM of 5086 and 5094?

Answer:

Least Common Multiple of 5086 and 5094 = 12954042

Step 1: Find the prime factorization of 5086

5086 = 2 x 2543

Step 2: Find the prime factorization of 5094

5094 = 2 x 3 x 3 x 283

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

LCM = 12954042 = 2 x 3 x 3 x 283 x 2543

Step 4: Therefore, the least common multiple of 5086 and 5094 is 12954042.