Least Common Multiple of 5173 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 5173 and 5178 the smallest integer that is 26785794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5173 and 5178 is 26785794.

LCM(5173,5178) = 26785794

LCM of 5173 and 5178

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

LCM of:
and

Least Common Multiple of 5173 and 5178

LCM of 5173 and 5178 is 26785794

Least common multiple can be found by multiplying the highest exponent prime factors of 5173 and 5178. First we will calculate the prime factors of 5173 and 5178.

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 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 5173 and 5178.

LCM(5173,5178) = 21×31×71×7391×8631
LCM(5173,5178) = 26785794

Factors of 5173

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

1, 7, 739, 5173

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 5173 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 5173 and 5178, than apply into the LCM equation.

GCF(5173,5178) = 1
LCM(5173,5178) = ( 5173 × 5178) / 1
LCM(5173,5178) = 26785794 / 1
LCM(5173,5178) = 26785794

Properties of LCM 5173 and 5178

(i) The LCM of 5178 and 5173 is associative

LCM of 5173 and 5178 = LCM of 5178 and 5173

Related Least Common Multiples of 5173

Related Least Common Multiples of 5178

Frequently Asked Questions on LCM of 5173 and 5178

1. What is the LCM of 5173 and 5178?

Answer: LCM of 5173 and 5178 is 26785794.

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 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 5173 and 5178?

Answer:

Least Common Multiple of 5173 and 5178 = 26785794

Step 1: Find the prime factorization of 5173

5173 = 7 x 739

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 = 26785794 = 2 x 3 x 7 x 739 x 863

Step 4: Therefore, the least common multiple of 5173 and 5178 is 26785794.