Least Common Multiple of 5164 and 5171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5164 and 5171 the smallest integer that is 26703044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5164 and 5171 is 26703044.

LCM(5164,5171) = 26703044

LCM of 5164 and 5171

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

LCM of:
and

Least Common Multiple of 5164 and 5171

LCM of 5164 and 5171 is 26703044

Least common multiple can be found by multiplying the highest exponent prime factors of 5164 and 5171. First we will calculate the prime factors of 5164 and 5171.

Prime Factorization of 5164


2 5164
2 2582
1291 1291
1

Prime factors of 5164 are 2,1291. Prime factorization of 5164 in exponential form is:

5164 = 22×12911

Prime Factorization of 5171


5171 5171
1

Prime factors of 5171 are 5171. Prime factorization of 5171 in exponential form is:

5171 = 51711

Now multiplying the highest exponent prime factors to calculate the LCM of 5164 and 5171.

LCM(5164,5171) = 22×12911×51711
LCM(5164,5171) = 26703044

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1, 2, 4, 1291, 2582, 5164

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1, 5171

Least Common Multiple of 5164 and 5171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5164 and 5171, than apply into the LCM equation.

GCF(5164,5171) = 1
LCM(5164,5171) = ( 5164 × 5171) / 1
LCM(5164,5171) = 26703044 / 1
LCM(5164,5171) = 26703044

Properties of LCM 5164 and 5171

(i) The LCM of 5171 and 5164 is associative

LCM of 5164 and 5171 = LCM of 5171 and 5164

Related Least Common Multiples of 5164

Related Least Common Multiples of 5171

Frequently Asked Questions on LCM of 5164 and 5171

1. What is the LCM of 5164 and 5171?

Answer: LCM of 5164 and 5171 is 26703044.

2. What are the Factors of 5164?

Answer: Factors of 5164 are 1, 2, 4, 1291, 2582, 5164. There are 6 integers that are factors of 5164. The greatest factor of 5164 is 5164.

3. What are the Factors of 5171?

Answer: Factors of 5171 are 1, 5171. There are 2 integers that are factors of 5171. The greatest factor of 5171 is 5171.

4. How to Find the LCM of 5164 and 5171?

Answer:

Least Common Multiple of 5164 and 5171 = 26703044

Step 1: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

Step 2: Find the prime factorization of 5171

5171 = 5171

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

LCM = 26703044 = 2 x 2 x 1291 x 5171

Step 4: Therefore, the least common multiple of 5164 and 5171 is 26703044.