Least Common Multiple of 30022 and 30030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30022 and 30030 the smallest integer that is 450780330 that is divisible by both numbers.

Least Common Multiple (LCM) of 30022 and 30030 is 450780330.

LCM(30022,30030) = 450780330

LCM of 30022 and 30030

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

LCM of:
and

Least Common Multiple of 30022 and 30030

LCM of 30022 and 30030 is 450780330

Least common multiple can be found by multiplying the highest exponent prime factors of 30022 and 30030. First we will calculate the prime factors of 30022 and 30030.

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

Prime Factorization of 30030


2 30030
3 15015
5 5005
7 1001
11 143
13 13
1

Prime factors of 30030 are 2, 3, 5, 7, 11,13. Prime factorization of 30030 in exponential form is:

30030 = 21×31×51×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 30022 and 30030.

LCM(30022,30030) = 21×31×51×71×111×131×171×8831
LCM(30022,30030) = 450780330

Factors of 30022

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

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

Factors of 30030

List of positive integer factors of 30030 that divides 30030 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015, 30030

Least Common Multiple of 30022 and 30030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30022 and 30030, than apply into the LCM equation.

GCF(30022,30030) = 2
LCM(30022,30030) = ( 30022 × 30030) / 2
LCM(30022,30030) = 901560660 / 2
LCM(30022,30030) = 450780330

Properties of LCM 30022 and 30030

(i) The LCM of 30030 and 30022 is associative

LCM of 30022 and 30030 = LCM of 30030 and 30022

Related Least Common Multiples of 30022

Related Least Common Multiples of 30030

Frequently Asked Questions on LCM of 30022 and 30030

1. What is the LCM of 30022 and 30030?

Answer: LCM of 30022 and 30030 is 450780330.

2. 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.

3. What are the Factors of 30030?

Answer: Factors of 30030 are 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015, 30030. There are 64 integers that are factors of 30030. The greatest factor of 30030 is 30030.

4. How to Find the LCM of 30022 and 30030?

Answer:

Least Common Multiple of 30022 and 30030 = 450780330

Step 1: Find the prime factorization of 30022

30022 = 2 x 17 x 883

Step 2: Find the prime factorization of 30030

30030 = 2 x 3 x 5 x 7 x 11 x 13

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

LCM = 450780330 = 2 x 3 x 5 x 7 x 11 x 13 x 17 x 883

Step 4: Therefore, the least common multiple of 30022 and 30030 is 450780330.