Least Common Multiple of 27014 and 27022

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 27022 the smallest integer that is 364986154 that is divisible by both numbers.

Least Common Multiple (LCM) of 27014 and 27022 is 364986154.

LCM(27014,27022) = 364986154

LCM of 27014 and 27022

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

LCM of:
and

Least Common Multiple of 27014 and 27022

LCM of 27014 and 27022 is 364986154

Least common multiple can be found by multiplying the highest exponent prime factors of 27014 and 27022. First we will calculate the prime factors of 27014 and 27022.

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 27022


2 27022
59 13511
229 229
1

Prime factors of 27022 are 2, 59,229. Prime factorization of 27022 in exponential form is:

27022 = 21×591×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 27014 and 27022.

LCM(27014,27022) = 21×131×591×2291×10391
LCM(27014,27022) = 364986154

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 27022

List of positive integer factors of 27022 that divides 27022 without a remainder.

1, 2, 59, 118, 229, 458, 13511, 27022

Least Common Multiple of 27014 and 27022 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 27022, than apply into the LCM equation.

GCF(27014,27022) = 2
LCM(27014,27022) = ( 27014 × 27022) / 2
LCM(27014,27022) = 729972308 / 2
LCM(27014,27022) = 364986154

Properties of LCM 27014 and 27022

(i) The LCM of 27022 and 27014 is associative

LCM of 27014 and 27022 = LCM of 27022 and 27014

Related Least Common Multiples of 27014

Related Least Common Multiples of 27022

Frequently Asked Questions on LCM of 27014 and 27022

1. What is the LCM of 27014 and 27022?

Answer: LCM of 27014 and 27022 is 364986154.

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 27022?

Answer: Factors of 27022 are 1, 2, 59, 118, 229, 458, 13511, 27022. There are 8 integers that are factors of 27022. The greatest factor of 27022 is 27022.

4. How to Find the LCM of 27014 and 27022?

Answer:

Least Common Multiple of 27014 and 27022 = 364986154

Step 1: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

Step 2: Find the prime factorization of 27022

27022 = 2 x 59 x 229

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

LCM = 364986154 = 2 x 13 x 59 x 229 x 1039

Step 4: Therefore, the least common multiple of 27014 and 27022 is 364986154.