Least Common Multiple of 5171 and 5177

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 5177 the smallest integer that is 26770267 that is divisible by both numbers.

Least Common Multiple (LCM) of 5171 and 5177 is 26770267.

LCM(5171,5177) = 26770267

LCM of 5171 and 5177

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

LCM of:
and

Least Common Multiple of 5171 and 5177

LCM of 5171 and 5177 is 26770267

Least common multiple can be found by multiplying the highest exponent prime factors of 5171 and 5177. First we will calculate the prime factors of 5171 and 5177.

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 5177


31 5177
167 167
1

Prime factors of 5177 are 31,167. Prime factorization of 5177 in exponential form is:

5177 = 311×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5171 and 5177.

LCM(5171,5177) = 311×1671×51711
LCM(5171,5177) = 26770267

Factors of 5171

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

1, 5171

Factors of 5177

List of positive integer factors of 5177 that divides 5177 without a remainder.

1, 31, 167, 5177

Least Common Multiple of 5171 and 5177 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 5177, than apply into the LCM equation.

GCF(5171,5177) = 1
LCM(5171,5177) = ( 5171 × 5177) / 1
LCM(5171,5177) = 26770267 / 1
LCM(5171,5177) = 26770267

Properties of LCM 5171 and 5177

(i) The LCM of 5177 and 5171 is associative

LCM of 5171 and 5177 = LCM of 5177 and 5171

Related Least Common Multiples of 5171

Related Least Common Multiples of 5177

Frequently Asked Questions on LCM of 5171 and 5177

1. What is the LCM of 5171 and 5177?

Answer: LCM of 5171 and 5177 is 26770267.

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 5177?

Answer: Factors of 5177 are 1, 31, 167, 5177. There are 4 integers that are factors of 5177. The greatest factor of 5177 is 5177.

4. How to Find the LCM of 5171 and 5177?

Answer:

Least Common Multiple of 5171 and 5177 = 26770267

Step 1: Find the prime factorization of 5171

5171 = 5171

Step 2: Find the prime factorization of 5177

5177 = 31 x 167

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

LCM = 26770267 = 31 x 167 x 5171

Step 4: Therefore, the least common multiple of 5171 and 5177 is 26770267.