Least Common Multiple of 10172 and 10177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10172 and 10177 the smallest integer that is 103520444 that is divisible by both numbers.

Least Common Multiple (LCM) of 10172 and 10177 is 103520444.

LCM(10172,10177) = 103520444

LCM of 10172 and 10177

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

LCM of:
and

Least Common Multiple of 10172 and 10177

LCM of 10172 and 10177 is 103520444

Least common multiple can be found by multiplying the highest exponent prime factors of 10172 and 10177. First we will calculate the prime factors of 10172 and 10177.

Prime Factorization of 10172


2 10172
2 5086
2543 2543
1

Prime factors of 10172 are 2,2543. Prime factorization of 10172 in exponential form is:

10172 = 22×25431

Prime Factorization of 10177


10177 10177
1

Prime factors of 10177 are 10177. Prime factorization of 10177 in exponential form is:

10177 = 101771

Now multiplying the highest exponent prime factors to calculate the LCM of 10172 and 10177.

LCM(10172,10177) = 22×25431×101771
LCM(10172,10177) = 103520444

Factors of 10172

List of positive integer factors of 10172 that divides 10172 without a remainder.

1, 2, 4, 2543, 5086, 10172

Factors of 10177

List of positive integer factors of 10177 that divides 10177 without a remainder.

1, 10177

Least Common Multiple of 10172 and 10177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10172 and 10177, than apply into the LCM equation.

GCF(10172,10177) = 1
LCM(10172,10177) = ( 10172 × 10177) / 1
LCM(10172,10177) = 103520444 / 1
LCM(10172,10177) = 103520444

Properties of LCM 10172 and 10177

(i) The LCM of 10177 and 10172 is associative

LCM of 10172 and 10177 = LCM of 10177 and 10172

Related Least Common Multiples of 10172

Related Least Common Multiples of 10177

Frequently Asked Questions on LCM of 10172 and 10177

1. What is the LCM of 10172 and 10177?

Answer: LCM of 10172 and 10177 is 103520444.

2. What are the Factors of 10172?

Answer: Factors of 10172 are 1, 2, 4, 2543, 5086, 10172. There are 6 integers that are factors of 10172. The greatest factor of 10172 is 10172.

3. What are the Factors of 10177?

Answer: Factors of 10177 are 1, 10177. There are 2 integers that are factors of 10177. The greatest factor of 10177 is 10177.

4. How to Find the LCM of 10172 and 10177?

Answer:

Least Common Multiple of 10172 and 10177 = 103520444

Step 1: Find the prime factorization of 10172

10172 = 2 x 2 x 2543

Step 2: Find the prime factorization of 10177

10177 = 10177

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

LCM = 103520444 = 2 x 2 x 2543 x 10177

Step 4: Therefore, the least common multiple of 10172 and 10177 is 103520444.