Least Common Multiple of 6014 and 6022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6014 and 6022 the smallest integer that is 18108154 that is divisible by both numbers.

Least Common Multiple (LCM) of 6014 and 6022 is 18108154.

LCM(6014,6022) = 18108154

LCM of 6014 and 6022

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

LCM of:
and

Least Common Multiple of 6014 and 6022

LCM of 6014 and 6022 is 18108154

Least common multiple can be found by multiplying the highest exponent prime factors of 6014 and 6022. First we will calculate the prime factors of 6014 and 6022.

Prime Factorization of 6014


2 6014
31 3007
97 97
1

Prime factors of 6014 are 2, 31,97. Prime factorization of 6014 in exponential form is:

6014 = 21×311×971

Prime Factorization of 6022


2 6022
3011 3011
1

Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:

6022 = 21×30111

Now multiplying the highest exponent prime factors to calculate the LCM of 6014 and 6022.

LCM(6014,6022) = 21×311×971×30111
LCM(6014,6022) = 18108154

Factors of 6014

List of positive integer factors of 6014 that divides 6014 without a remainder.

1, 2, 31, 62, 97, 194, 3007, 6014

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1, 2, 3011, 6022

Least Common Multiple of 6014 and 6022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6014 and 6022, than apply into the LCM equation.

GCF(6014,6022) = 2
LCM(6014,6022) = ( 6014 × 6022) / 2
LCM(6014,6022) = 36216308 / 2
LCM(6014,6022) = 18108154

Properties of LCM 6014 and 6022

(i) The LCM of 6022 and 6014 is associative

LCM of 6014 and 6022 = LCM of 6022 and 6014

Related Least Common Multiples of 6014

Related Least Common Multiples of 6022

Frequently Asked Questions on LCM of 6014 and 6022

1. What is the LCM of 6014 and 6022?

Answer: LCM of 6014 and 6022 is 18108154.

2. What are the Factors of 6014?

Answer: Factors of 6014 are 1, 2, 31, 62, 97, 194, 3007, 6014. There are 8 integers that are factors of 6014. The greatest factor of 6014 is 6014.

3. What are the Factors of 6022?

Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.

4. How to Find the LCM of 6014 and 6022?

Answer:

Least Common Multiple of 6014 and 6022 = 18108154

Step 1: Find the prime factorization of 6014

6014 = 2 x 31 x 97

Step 2: Find the prime factorization of 6022

6022 = 2 x 3011

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

LCM = 18108154 = 2 x 31 x 97 x 3011

Step 4: Therefore, the least common multiple of 6014 and 6022 is 18108154.