Least Common Multiple of 5172 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 5172 and 5177 the smallest integer that is 26775444 that is divisible by both numbers.

Least Common Multiple (LCM) of 5172 and 5177 is 26775444.

LCM(5172,5177) = 26775444

LCM of 5172 and 5177

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

LCM of:
and

Least Common Multiple of 5172 and 5177

LCM of 5172 and 5177 is 26775444

Least common multiple can be found by multiplying the highest exponent prime factors of 5172 and 5177. First we will calculate the prime factors of 5172 and 5177.

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 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 5172 and 5177.

LCM(5172,5177) = 22×31×311×1671×4311
LCM(5172,5177) = 26775444

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 5177

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

1, 31, 167, 5177

Least Common Multiple of 5172 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 5172 and 5177, than apply into the LCM equation.

GCF(5172,5177) = 1
LCM(5172,5177) = ( 5172 × 5177) / 1
LCM(5172,5177) = 26775444 / 1
LCM(5172,5177) = 26775444

Properties of LCM 5172 and 5177

(i) The LCM of 5177 and 5172 is associative

LCM of 5172 and 5177 = LCM of 5177 and 5172

Related Least Common Multiples of 5172

Related Least Common Multiples of 5177

Frequently Asked Questions on LCM of 5172 and 5177

1. What is the LCM of 5172 and 5177?

Answer: LCM of 5172 and 5177 is 26775444.

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 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 5172 and 5177?

Answer:

Least Common Multiple of 5172 and 5177 = 26775444

Step 1: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

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 = 26775444 = 2 x 2 x 3 x 31 x 167 x 431

Step 4: Therefore, the least common multiple of 5172 and 5177 is 26775444.