Least Common Multiple of 27018 and 27025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27018 and 27025 the smallest integer that is 730161450 that is divisible by both numbers.

Least Common Multiple (LCM) of 27018 and 27025 is 730161450.

LCM(27018,27025) = 730161450

LCM of 27018 and 27025

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

LCM of:
and

Least Common Multiple of 27018 and 27025

LCM of 27018 and 27025 is 730161450

Least common multiple can be found by multiplying the highest exponent prime factors of 27018 and 27025. First we will calculate the prime factors of 27018 and 27025.

Prime Factorization of 27018


2 27018
3 13509
3 4503
19 1501
79 79
1

Prime factors of 27018 are 2, 3, 19,79. Prime factorization of 27018 in exponential form is:

27018 = 21×32×191×791

Prime Factorization of 27025


5 27025
5 5405
23 1081
47 47
1

Prime factors of 27025 are 5, 23,47. Prime factorization of 27025 in exponential form is:

27025 = 52×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 27018 and 27025.

LCM(27018,27025) = 21×32×52×191×231×471×791
LCM(27018,27025) = 730161450

Factors of 27018

List of positive integer factors of 27018 that divides 27018 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509, 27018

Factors of 27025

List of positive integer factors of 27025 that divides 27025 without a remainder.

1, 5, 23, 25, 47, 115, 235, 575, 1081, 1175, 5405, 27025

Least Common Multiple of 27018 and 27025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27018 and 27025, than apply into the LCM equation.

GCF(27018,27025) = 1
LCM(27018,27025) = ( 27018 × 27025) / 1
LCM(27018,27025) = 730161450 / 1
LCM(27018,27025) = 730161450

Properties of LCM 27018 and 27025

(i) The LCM of 27025 and 27018 is associative

LCM of 27018 and 27025 = LCM of 27025 and 27018

Related Least Common Multiples of 27018

Related Least Common Multiples of 27025

Frequently Asked Questions on LCM of 27018 and 27025

1. What is the LCM of 27018 and 27025?

Answer: LCM of 27018 and 27025 is 730161450.

2. What are the Factors of 27018?

Answer: Factors of 27018 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509, 27018. There are 24 integers that are factors of 27018. The greatest factor of 27018 is 27018.

3. What are the Factors of 27025?

Answer: Factors of 27025 are 1, 5, 23, 25, 47, 115, 235, 575, 1081, 1175, 5405, 27025. There are 12 integers that are factors of 27025. The greatest factor of 27025 is 27025.

4. How to Find the LCM of 27018 and 27025?

Answer:

Least Common Multiple of 27018 and 27025 = 730161450

Step 1: Find the prime factorization of 27018

27018 = 2 x 3 x 3 x 19 x 79

Step 2: Find the prime factorization of 27025

27025 = 5 x 5 x 23 x 47

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

LCM = 730161450 = 2 x 3 x 3 x 5 x 5 x 19 x 23 x 47 x 79

Step 4: Therefore, the least common multiple of 27018 and 27025 is 730161450.