Least Common Multiple of 5094 and 5098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5094 and 5098 the smallest integer that is 12984606 that is divisible by both numbers.

Least Common Multiple (LCM) of 5094 and 5098 is 12984606.

LCM(5094,5098) = 12984606

LCM of 5094 and 5098

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

LCM of:
and

Least Common Multiple of 5094 and 5098

LCM of 5094 and 5098 is 12984606

Least common multiple can be found by multiplying the highest exponent prime factors of 5094 and 5098. First we will calculate the prime factors of 5094 and 5098.

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

Prime Factorization of 5098


2 5098
2549 2549
1

Prime factors of 5098 are 2,2549. Prime factorization of 5098 in exponential form is:

5098 = 21×25491

Now multiplying the highest exponent prime factors to calculate the LCM of 5094 and 5098.

LCM(5094,5098) = 21×32×2831×25491
LCM(5094,5098) = 12984606

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

Factors of 5098

List of positive integer factors of 5098 that divides 5098 without a remainder.

1, 2, 2549, 5098

Least Common Multiple of 5094 and 5098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5094 and 5098, than apply into the LCM equation.

GCF(5094,5098) = 2
LCM(5094,5098) = ( 5094 × 5098) / 2
LCM(5094,5098) = 25969212 / 2
LCM(5094,5098) = 12984606

Properties of LCM 5094 and 5098

(i) The LCM of 5098 and 5094 is associative

LCM of 5094 and 5098 = LCM of 5098 and 5094

Related Least Common Multiples of 5094

Related Least Common Multiples of 5098

Frequently Asked Questions on LCM of 5094 and 5098

1. What is the LCM of 5094 and 5098?

Answer: LCM of 5094 and 5098 is 12984606.

2. 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.

3. What are the Factors of 5098?

Answer: Factors of 5098 are 1, 2, 2549, 5098. There are 4 integers that are factors of 5098. The greatest factor of 5098 is 5098.

4. How to Find the LCM of 5094 and 5098?

Answer:

Least Common Multiple of 5094 and 5098 = 12984606

Step 1: Find the prime factorization of 5094

5094 = 2 x 3 x 3 x 283

Step 2: Find the prime factorization of 5098

5098 = 2 x 2549

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

LCM = 12984606 = 2 x 3 x 3 x 283 x 2549

Step 4: Therefore, the least common multiple of 5094 and 5098 is 12984606.