Least Common Multiple of 5167 and 5174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5167 and 5174 the smallest integer that is 26734058 that is divisible by both numbers.

Least Common Multiple (LCM) of 5167 and 5174 is 26734058.

LCM(5167,5174) = 26734058

LCM of 5167 and 5174

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

LCM of:
and

Least Common Multiple of 5167 and 5174

LCM of 5167 and 5174 is 26734058

Least common multiple can be found by multiplying the highest exponent prime factors of 5167 and 5174. First we will calculate the prime factors of 5167 and 5174.

Prime Factorization of 5167


5167 5167
1

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5167 and 5174.

LCM(5167,5174) = 21×131×1991×51671
LCM(5167,5174) = 26734058

Factors of 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1, 5167

Factors of 5174

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

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

Least Common Multiple of 5167 and 5174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5167 and 5174, than apply into the LCM equation.

GCF(5167,5174) = 1
LCM(5167,5174) = ( 5167 × 5174) / 1
LCM(5167,5174) = 26734058 / 1
LCM(5167,5174) = 26734058

Properties of LCM 5167 and 5174

(i) The LCM of 5174 and 5167 is associative

LCM of 5167 and 5174 = LCM of 5174 and 5167

Related Least Common Multiples of 5167

Related Least Common Multiples of 5174

Frequently Asked Questions on LCM of 5167 and 5174

1. What is the LCM of 5167 and 5174?

Answer: LCM of 5167 and 5174 is 26734058.

2. What are the Factors of 5167?

Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.

3. 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.

4. How to Find the LCM of 5167 and 5174?

Answer:

Least Common Multiple of 5167 and 5174 = 26734058

Step 1: Find the prime factorization of 5167

5167 = 5167

Step 2: Find the prime factorization of 5174

5174 = 2 x 13 x 199

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

LCM = 26734058 = 2 x 13 x 199 x 5167

Step 4: Therefore, the least common multiple of 5167 and 5174 is 26734058.