Least Common Multiple of 5173 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 5173 and 5177 the smallest integer that is 26780621 that is divisible by both numbers.

Least Common Multiple (LCM) of 5173 and 5177 is 26780621.

LCM(5173,5177) = 26780621

LCM of 5173 and 5177

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

LCM of:
and

Least Common Multiple of 5173 and 5177

LCM of 5173 and 5177 is 26780621

Least common multiple can be found by multiplying the highest exponent prime factors of 5173 and 5177. First we will calculate the prime factors of 5173 and 5177.

Prime Factorization of 5173


7 5173
739 739
1

Prime factors of 5173 are 7,739. Prime factorization of 5173 in exponential form is:

5173 = 71×7391

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 5173 and 5177.

LCM(5173,5177) = 71×311×1671×7391
LCM(5173,5177) = 26780621

Factors of 5173

List of positive integer factors of 5173 that divides 5173 without a remainder.

1, 7, 739, 5173

Factors of 5177

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

1, 31, 167, 5177

Least Common Multiple of 5173 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 5173 and 5177, than apply into the LCM equation.

GCF(5173,5177) = 1
LCM(5173,5177) = ( 5173 × 5177) / 1
LCM(5173,5177) = 26780621 / 1
LCM(5173,5177) = 26780621

Properties of LCM 5173 and 5177

(i) The LCM of 5177 and 5173 is associative

LCM of 5173 and 5177 = LCM of 5177 and 5173

Related Least Common Multiples of 5173

Related Least Common Multiples of 5177

Frequently Asked Questions on LCM of 5173 and 5177

1. What is the LCM of 5173 and 5177?

Answer: LCM of 5173 and 5177 is 26780621.

2. What are the Factors of 5173?

Answer: Factors of 5173 are 1, 7, 739, 5173. There are 4 integers that are factors of 5173. The greatest factor of 5173 is 5173.

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 5173 and 5177?

Answer:

Least Common Multiple of 5173 and 5177 = 26780621

Step 1: Find the prime factorization of 5173

5173 = 7 x 739

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 = 26780621 = 7 x 31 x 167 x 739

Step 4: Therefore, the least common multiple of 5173 and 5177 is 26780621.