Least Common Multiple of 5174 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 5174 and 5182 the smallest integer that is 13405834 that is divisible by both numbers.

Least Common Multiple (LCM) of 5174 and 5182 is 13405834.

LCM(5174,5182) = 13405834

LCM of 5174 and 5182

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

LCM of:
and

Least Common Multiple of 5174 and 5182

LCM of 5174 and 5182 is 13405834

Least common multiple can be found by multiplying the highest exponent prime factors of 5174 and 5182. First we will calculate the prime factors of 5174 and 5182.

Prime Factorization of 5174


2 5174
13 2587
199 199
1

Prime factors of 5174 are 2, 13,199. Prime factorization of 5174 in exponential form is:

5174 = 21×131×1991

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 5174 and 5182.

LCM(5174,5182) = 21×131×1991×25911
LCM(5174,5182) = 13405834

Factors of 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1, 2, 13, 26, 199, 398, 2587, 5174

Factors of 5182

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

1, 2, 2591, 5182

Least Common Multiple of 5174 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 5174 and 5182, than apply into the LCM equation.

GCF(5174,5182) = 2
LCM(5174,5182) = ( 5174 × 5182) / 2
LCM(5174,5182) = 26811668 / 2
LCM(5174,5182) = 13405834

Properties of LCM 5174 and 5182

(i) The LCM of 5182 and 5174 is associative

LCM of 5174 and 5182 = LCM of 5182 and 5174

Related Least Common Multiples of 5174

Related Least Common Multiples of 5182

Frequently Asked Questions on LCM of 5174 and 5182

1. What is the LCM of 5174 and 5182?

Answer: LCM of 5174 and 5182 is 13405834.

2. What are the Factors of 5174?

Answer: Factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174. There are 8 integers that are factors of 5174. The greatest factor of 5174 is 5174.

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 5174 and 5182?

Answer:

Least Common Multiple of 5174 and 5182 = 13405834

Step 1: Find the prime factorization of 5174

5174 = 2 x 13 x 199

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 = 13405834 = 2 x 13 x 199 x 2591

Step 4: Therefore, the least common multiple of 5174 and 5182 is 13405834.