Least Common Multiple of 5172 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 5172 and 5178 the smallest integer that is 4463436 that is divisible by both numbers.

Least Common Multiple (LCM) of 5172 and 5178 is 4463436.

LCM(5172,5178) = 4463436

LCM of 5172 and 5178

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

LCM of:
and

Least Common Multiple of 5172 and 5178

LCM of 5172 and 5178 is 4463436

Least common multiple can be found by multiplying the highest exponent prime factors of 5172 and 5178. First we will calculate the prime factors of 5172 and 5178.

Prime Factorization of 5172


2 5172
2 2586
3 1293
431 431
1

Prime factors of 5172 are 2, 3,431. Prime factorization of 5172 in exponential form is:

5172 = 22×31×4311

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 5172 and 5178.

LCM(5172,5178) = 22×31×4311×8631
LCM(5172,5178) = 4463436

Factors of 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172

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 5172 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 5172 and 5178, than apply into the LCM equation.

GCF(5172,5178) = 6
LCM(5172,5178) = ( 5172 × 5178) / 6
LCM(5172,5178) = 26780616 / 6
LCM(5172,5178) = 4463436

Properties of LCM 5172 and 5178

(i) The LCM of 5178 and 5172 is associative

LCM of 5172 and 5178 = LCM of 5178 and 5172

Related Least Common Multiples of 5172

Related Least Common Multiples of 5178

Frequently Asked Questions on LCM of 5172 and 5178

1. What is the LCM of 5172 and 5178?

Answer: LCM of 5172 and 5178 is 4463436.

2. What are the Factors of 5172?

Answer: Factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172. There are 12 integers that are factors of 5172. The greatest factor of 5172 is 5172.

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 5172 and 5178?

Answer:

Least Common Multiple of 5172 and 5178 = 4463436

Step 1: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

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 = 4463436 = 2 x 2 x 3 x 431 x 863

Step 4: Therefore, the least common multiple of 5172 and 5178 is 4463436.