Least Common Multiple of 5087 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 5087 and 5094 the smallest integer that is 25913178 that is divisible by both numbers.

Least Common Multiple (LCM) of 5087 and 5094 is 25913178.

LCM(5087,5094) = 25913178

LCM of 5087 and 5094

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

LCM of:
and

Least Common Multiple of 5087 and 5094

LCM of 5087 and 5094 is 25913178

Least common multiple can be found by multiplying the highest exponent prime factors of 5087 and 5094. First we will calculate the prime factors of 5087 and 5094.

Prime Factorization of 5087


5087 5087
1

Prime factors of 5087 are 5087. Prime factorization of 5087 in exponential form is:

5087 = 50871

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 5087 and 5094.

LCM(5087,5094) = 21×32×2831×50871
LCM(5087,5094) = 25913178

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1, 5087

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 5087 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 5087 and 5094, than apply into the LCM equation.

GCF(5087,5094) = 1
LCM(5087,5094) = ( 5087 × 5094) / 1
LCM(5087,5094) = 25913178 / 1
LCM(5087,5094) = 25913178

Properties of LCM 5087 and 5094

(i) The LCM of 5094 and 5087 is associative

LCM of 5087 and 5094 = LCM of 5094 and 5087

Related Least Common Multiples of 5087

Related Least Common Multiples of 5094

Frequently Asked Questions on LCM of 5087 and 5094

1. What is the LCM of 5087 and 5094?

Answer: LCM of 5087 and 5094 is 25913178.

2. What are the Factors of 5087?

Answer: Factors of 5087 are 1, 5087. There are 2 integers that are factors of 5087. The greatest factor of 5087 is 5087.

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 5087 and 5094?

Answer:

Least Common Multiple of 5087 and 5094 = 25913178

Step 1: Find the prime factorization of 5087

5087 = 5087

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 = 25913178 = 2 x 3 x 3 x 283 x 5087

Step 4: Therefore, the least common multiple of 5087 and 5094 is 25913178.