Least Common Multiple of 3014 and 3022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3014 and 3022 the smallest integer that is 4554154 that is divisible by both numbers.

Least Common Multiple (LCM) of 3014 and 3022 is 4554154.

LCM(3014,3022) = 4554154

LCM of 3014 and 3022

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

LCM of:
and

Least Common Multiple of 3014 and 3022

LCM of 3014 and 3022 is 4554154

Least common multiple can be found by multiplying the highest exponent prime factors of 3014 and 3022. First we will calculate the prime factors of 3014 and 3022.

Prime Factorization of 3014


2 3014
11 1507
137 137
1

Prime factors of 3014 are 2, 11,137. Prime factorization of 3014 in exponential form is:

3014 = 21×111×1371

Prime Factorization of 3022


2 3022
1511 1511
1

Prime factors of 3022 are 2,1511. Prime factorization of 3022 in exponential form is:

3022 = 21×15111

Now multiplying the highest exponent prime factors to calculate the LCM of 3014 and 3022.

LCM(3014,3022) = 21×111×1371×15111
LCM(3014,3022) = 4554154

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1, 2, 11, 22, 137, 274, 1507, 3014

Factors of 3022

List of positive integer factors of 3022 that divides 3022 without a remainder.

1, 2, 1511, 3022

Least Common Multiple of 3014 and 3022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3014 and 3022, than apply into the LCM equation.

GCF(3014,3022) = 2
LCM(3014,3022) = ( 3014 × 3022) / 2
LCM(3014,3022) = 9108308 / 2
LCM(3014,3022) = 4554154

Properties of LCM 3014 and 3022

(i) The LCM of 3022 and 3014 is associative

LCM of 3014 and 3022 = LCM of 3022 and 3014

Related Least Common Multiples of 3014

Related Least Common Multiples of 3022

Frequently Asked Questions on LCM of 3014 and 3022

1. What is the LCM of 3014 and 3022?

Answer: LCM of 3014 and 3022 is 4554154.

2. What are the Factors of 3014?

Answer: Factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014. There are 8 integers that are factors of 3014. The greatest factor of 3014 is 3014.

3. What are the Factors of 3022?

Answer: Factors of 3022 are 1, 2, 1511, 3022. There are 4 integers that are factors of 3022. The greatest factor of 3022 is 3022.

4. How to Find the LCM of 3014 and 3022?

Answer:

Least Common Multiple of 3014 and 3022 = 4554154

Step 1: Find the prime factorization of 3014

3014 = 2 x 11 x 137

Step 2: Find the prime factorization of 3022

3022 = 2 x 1511

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

LCM = 4554154 = 2 x 11 x 137 x 1511

Step 4: Therefore, the least common multiple of 3014 and 3022 is 4554154.