Least Common Multiple of 10172 and 10180

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 10180 the smallest integer that is 25887740 that is divisible by both numbers.

Least Common Multiple (LCM) of 10172 and 10180 is 25887740.

LCM(10172,10180) = 25887740

LCM of 10172 and 10180

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

LCM of:
and

Least Common Multiple of 10172 and 10180

LCM of 10172 and 10180 is 25887740

Least common multiple can be found by multiplying the highest exponent prime factors of 10172 and 10180. First we will calculate the prime factors of 10172 and 10180.

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 10180


2 10180
2 5090
5 2545
509 509
1

Prime factors of 10180 are 2, 5,509. Prime factorization of 10180 in exponential form is:

10180 = 22×51×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 10172 and 10180.

LCM(10172,10180) = 22×51×5091×25431
LCM(10172,10180) = 25887740

Factors of 10172

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

1, 2, 4, 2543, 5086, 10172

Factors of 10180

List of positive integer factors of 10180 that divides 10180 without a remainder.

1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180

Least Common Multiple of 10172 and 10180 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 10180, than apply into the LCM equation.

GCF(10172,10180) = 4
LCM(10172,10180) = ( 10172 × 10180) / 4
LCM(10172,10180) = 103550960 / 4
LCM(10172,10180) = 25887740

Properties of LCM 10172 and 10180

(i) The LCM of 10180 and 10172 is associative

LCM of 10172 and 10180 = LCM of 10180 and 10172

Related Least Common Multiples of 10172

Related Least Common Multiples of 10180

Frequently Asked Questions on LCM of 10172 and 10180

1. What is the LCM of 10172 and 10180?

Answer: LCM of 10172 and 10180 is 25887740.

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 10180?

Answer: Factors of 10180 are 1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180. There are 12 integers that are factors of 10180. The greatest factor of 10180 is 10180.

4. How to Find the LCM of 10172 and 10180?

Answer:

Least Common Multiple of 10172 and 10180 = 25887740

Step 1: Find the prime factorization of 10172

10172 = 2 x 2 x 2543

Step 2: Find the prime factorization of 10180

10180 = 2 x 2 x 5 x 509

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

LCM = 25887740 = 2 x 2 x 5 x 509 x 2543

Step 4: Therefore, the least common multiple of 10172 and 10180 is 25887740.