Least Common Multiple of 30014 and 30022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30014 and 30022 the smallest integer that is 450540154 that is divisible by both numbers.

Least Common Multiple (LCM) of 30014 and 30022 is 450540154.

LCM(30014,30022) = 450540154

LCM of 30014 and 30022

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

LCM of:
and

Least Common Multiple of 30014 and 30022

LCM of 30014 and 30022 is 450540154

Least common multiple can be found by multiplying the highest exponent prime factors of 30014 and 30022. First we will calculate the prime factors of 30014 and 30022.

Prime Factorization of 30014


2 30014
43 15007
349 349
1

Prime factors of 30014 are 2, 43,349. Prime factorization of 30014 in exponential form is:

30014 = 21×431×3491

Prime Factorization of 30022


2 30022
17 15011
883 883
1

Prime factors of 30022 are 2, 17,883. Prime factorization of 30022 in exponential form is:

30022 = 21×171×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 30014 and 30022.

LCM(30014,30022) = 21×171×431×3491×8831
LCM(30014,30022) = 450540154

Factors of 30014

List of positive integer factors of 30014 that divides 30014 without a remainder.

1, 2, 43, 86, 349, 698, 15007, 30014

Factors of 30022

List of positive integer factors of 30022 that divides 30022 without a remainder.

1, 2, 17, 34, 883, 1766, 15011, 30022

Least Common Multiple of 30014 and 30022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30014 and 30022, than apply into the LCM equation.

GCF(30014,30022) = 2
LCM(30014,30022) = ( 30014 × 30022) / 2
LCM(30014,30022) = 901080308 / 2
LCM(30014,30022) = 450540154

Properties of LCM 30014 and 30022

(i) The LCM of 30022 and 30014 is associative

LCM of 30014 and 30022 = LCM of 30022 and 30014

Related Least Common Multiples of 30014

Related Least Common Multiples of 30022

Frequently Asked Questions on LCM of 30014 and 30022

1. What is the LCM of 30014 and 30022?

Answer: LCM of 30014 and 30022 is 450540154.

2. What are the Factors of 30014?

Answer: Factors of 30014 are 1, 2, 43, 86, 349, 698, 15007, 30014. There are 8 integers that are factors of 30014. The greatest factor of 30014 is 30014.

3. What are the Factors of 30022?

Answer: Factors of 30022 are 1, 2, 17, 34, 883, 1766, 15011, 30022. There are 8 integers that are factors of 30022. The greatest factor of 30022 is 30022.

4. How to Find the LCM of 30014 and 30022?

Answer:

Least Common Multiple of 30014 and 30022 = 450540154

Step 1: Find the prime factorization of 30014

30014 = 2 x 43 x 349

Step 2: Find the prime factorization of 30022

30022 = 2 x 17 x 883

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

LCM = 450540154 = 2 x 17 x 43 x 349 x 883

Step 4: Therefore, the least common multiple of 30014 and 30022 is 450540154.