Least Common Multiple of 5171 and 5178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5171 and 5178 the smallest integer that is 26775438 that is divisible by both numbers.

Least Common Multiple (LCM) of 5171 and 5178 is 26775438.

LCM(5171,5178) = 26775438

LCM of 5171 and 5178

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

LCM of:
and

Least Common Multiple of 5171 and 5178

LCM of 5171 and 5178 is 26775438

Least common multiple can be found by multiplying the highest exponent prime factors of 5171 and 5178. First we will calculate the prime factors of 5171 and 5178.

Prime Factorization of 5171


5171 5171
1

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

5171 = 51711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5171 and 5178.

LCM(5171,5178) = 21×31×8631×51711
LCM(5171,5178) = 26775438

Factors of 5171

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

1, 5171

Factors of 5178

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

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

Least Common Multiple of 5171 and 5178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5171 and 5178, than apply into the LCM equation.

GCF(5171,5178) = 1
LCM(5171,5178) = ( 5171 × 5178) / 1
LCM(5171,5178) = 26775438 / 1
LCM(5171,5178) = 26775438

Properties of LCM 5171 and 5178

(i) The LCM of 5178 and 5171 is associative

LCM of 5171 and 5178 = LCM of 5178 and 5171

Related Least Common Multiples of 5171

Related Least Common Multiples of 5178

Frequently Asked Questions on LCM of 5171 and 5178

1. What is the LCM of 5171 and 5178?

Answer: LCM of 5171 and 5178 is 26775438.

2. 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.

3. 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.

4. How to Find the LCM of 5171 and 5178?

Answer:

Least Common Multiple of 5171 and 5178 = 26775438

Step 1: Find the prime factorization of 5171

5171 = 5171

Step 2: Find the prime factorization of 5178

5178 = 2 x 3 x 863

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

LCM = 26775438 = 2 x 3 x 863 x 5171

Step 4: Therefore, the least common multiple of 5171 and 5178 is 26775438.