Least Common Multiple of 5174 and 5181

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 5181 the smallest integer that is 26806494 that is divisible by both numbers.

Least Common Multiple (LCM) of 5174 and 5181 is 26806494.

LCM(5174,5181) = 26806494

LCM of 5174 and 5181

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

LCM of:
and

Least Common Multiple of 5174 and 5181

LCM of 5174 and 5181 is 26806494

Least common multiple can be found by multiplying the highest exponent prime factors of 5174 and 5181. First we will calculate the prime factors of 5174 and 5181.

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 5181


3 5181
11 1727
157 157
1

Prime factors of 5181 are 3, 11,157. Prime factorization of 5181 in exponential form is:

5181 = 31×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5174 and 5181.

LCM(5174,5181) = 21×31×111×131×1571×1991
LCM(5174,5181) = 26806494

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 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1, 3, 11, 33, 157, 471, 1727, 5181

Least Common Multiple of 5174 and 5181 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 5181, than apply into the LCM equation.

GCF(5174,5181) = 1
LCM(5174,5181) = ( 5174 × 5181) / 1
LCM(5174,5181) = 26806494 / 1
LCM(5174,5181) = 26806494

Properties of LCM 5174 and 5181

(i) The LCM of 5181 and 5174 is associative

LCM of 5174 and 5181 = LCM of 5181 and 5174

Related Least Common Multiples of 5174

Related Least Common Multiples of 5181

Frequently Asked Questions on LCM of 5174 and 5181

1. What is the LCM of 5174 and 5181?

Answer: LCM of 5174 and 5181 is 26806494.

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 5181?

Answer: Factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181. There are 8 integers that are factors of 5181. The greatest factor of 5181 is 5181.

4. How to Find the LCM of 5174 and 5181?

Answer:

Least Common Multiple of 5174 and 5181 = 26806494

Step 1: Find the prime factorization of 5174

5174 = 2 x 13 x 199

Step 2: Find the prime factorization of 5181

5181 = 3 x 11 x 157

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

LCM = 26806494 = 2 x 3 x 11 x 13 x 157 x 199

Step 4: Therefore, the least common multiple of 5174 and 5181 is 26806494.