Least Common Multiple of 5178 and 5182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5178 and 5182 the smallest integer that is 13416198 that is divisible by both numbers.

Least Common Multiple (LCM) of 5178 and 5182 is 13416198.

LCM(5178,5182) = 13416198

LCM of 5178 and 5182

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

LCM of:
and

Least Common Multiple of 5178 and 5182

LCM of 5178 and 5182 is 13416198

Least common multiple can be found by multiplying the highest exponent prime factors of 5178 and 5182. First we will calculate the prime factors of 5178 and 5182.

Prime Factorization of 5178


2 5178
3 2589
863 863
1

Prime factors of 5178 are 2, 3,863. Prime factorization of 5178 in exponential form is:

5178 = 21×31×8631

Prime Factorization of 5182


2 5182
2591 2591
1

Prime factors of 5182 are 2,2591. Prime factorization of 5182 in exponential form is:

5182 = 21×25911

Now multiplying the highest exponent prime factors to calculate the LCM of 5178 and 5182.

LCM(5178,5182) = 21×31×8631×25911
LCM(5178,5182) = 13416198

Factors of 5178

List of positive integer factors of 5178 that divides 5178 without a remainder.

1, 2, 3, 6, 863, 1726, 2589, 5178

Factors of 5182

List of positive integer factors of 5182 that divides 5182 without a remainder.

1, 2, 2591, 5182

Least Common Multiple of 5178 and 5182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5178 and 5182, than apply into the LCM equation.

GCF(5178,5182) = 2
LCM(5178,5182) = ( 5178 × 5182) / 2
LCM(5178,5182) = 26832396 / 2
LCM(5178,5182) = 13416198

Properties of LCM 5178 and 5182

(i) The LCM of 5182 and 5178 is associative

LCM of 5178 and 5182 = LCM of 5182 and 5178

Related Least Common Multiples of 5178

Related Least Common Multiples of 5182

Frequently Asked Questions on LCM of 5178 and 5182

1. What is the LCM of 5178 and 5182?

Answer: LCM of 5178 and 5182 is 13416198.

2. What are the Factors of 5178?

Answer: Factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178. There are 8 integers that are factors of 5178. The greatest factor of 5178 is 5178.

3. What are the Factors of 5182?

Answer: Factors of 5182 are 1, 2, 2591, 5182. There are 4 integers that are factors of 5182. The greatest factor of 5182 is 5182.

4. How to Find the LCM of 5178 and 5182?

Answer:

Least Common Multiple of 5178 and 5182 = 13416198

Step 1: Find the prime factorization of 5178

5178 = 2 x 3 x 863

Step 2: Find the prime factorization of 5182

5182 = 2 x 2591

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

LCM = 13416198 = 2 x 3 x 863 x 2591

Step 4: Therefore, the least common multiple of 5178 and 5182 is 13416198.