Least Common Multiple of 27014 and 27018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27014 and 27018 the smallest integer that is 364932126 that is divisible by both numbers.

Least Common Multiple (LCM) of 27014 and 27018 is 364932126.

LCM(27014,27018) = 364932126

LCM of 27014 and 27018

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

LCM of:
and

Least Common Multiple of 27014 and 27018

LCM of 27014 and 27018 is 364932126

Least common multiple can be found by multiplying the highest exponent prime factors of 27014 and 27018. First we will calculate the prime factors of 27014 and 27018.

Prime Factorization of 27014


2 27014
13 13507
1039 1039
1

Prime factors of 27014 are 2, 13,1039. Prime factorization of 27014 in exponential form is:

27014 = 21×131×10391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27014 and 27018.

LCM(27014,27018) = 21×32×131×191×791×10391
LCM(27014,27018) = 364932126

Factors of 27014

List of positive integer factors of 27014 that divides 27014 without a remainder.

1, 2, 13, 26, 1039, 2078, 13507, 27014

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

Least Common Multiple of 27014 and 27018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27014 and 27018, than apply into the LCM equation.

GCF(27014,27018) = 2
LCM(27014,27018) = ( 27014 × 27018) / 2
LCM(27014,27018) = 729864252 / 2
LCM(27014,27018) = 364932126

Properties of LCM 27014 and 27018

(i) The LCM of 27018 and 27014 is associative

LCM of 27014 and 27018 = LCM of 27018 and 27014

Related Least Common Multiples of 27014

Related Least Common Multiples of 27018

Frequently Asked Questions on LCM of 27014 and 27018

1. What is the LCM of 27014 and 27018?

Answer: LCM of 27014 and 27018 is 364932126.

2. What are the Factors of 27014?

Answer: Factors of 27014 are 1, 2, 13, 26, 1039, 2078, 13507, 27014. There are 8 integers that are factors of 27014. The greatest factor of 27014 is 27014.

3. 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.

4. How to Find the LCM of 27014 and 27018?

Answer:

Least Common Multiple of 27014 and 27018 = 364932126

Step 1: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

Step 2: Find the prime factorization of 27018

27018 = 2 x 3 x 3 x 19 x 79

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

LCM = 364932126 = 2 x 3 x 3 x 13 x 19 x 79 x 1039

Step 4: Therefore, the least common multiple of 27014 and 27018 is 364932126.