Least Common Multiple of 30021 and 30024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30021 and 30024 the smallest integer that is 300450168 that is divisible by both numbers.

Least Common Multiple (LCM) of 30021 and 30024 is 300450168.

LCM(30021,30024) = 300450168

LCM of 30021 and 30024

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

LCM of:
and

Least Common Multiple of 30021 and 30024

LCM of 30021 and 30024 is 300450168

Least common multiple can be found by multiplying the highest exponent prime factors of 30021 and 30024. First we will calculate the prime factors of 30021 and 30024.

Prime Factorization of 30021


3 30021
10007 10007
1

Prime factors of 30021 are 3,10007. Prime factorization of 30021 in exponential form is:

30021 = 31×100071

Prime Factorization of 30024


2 30024
2 15012
2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 30024 are 2, 3,139. Prime factorization of 30024 in exponential form is:

30024 = 23×33×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 30021 and 30024.

LCM(30021,30024) = 23×33×1391×100071
LCM(30021,30024) = 300450168

Factors of 30021

List of positive integer factors of 30021 that divides 30021 without a remainder.

1, 3, 10007, 30021

Factors of 30024

List of positive integer factors of 30024 that divides 30024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012, 30024

Least Common Multiple of 30021 and 30024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30021 and 30024, than apply into the LCM equation.

GCF(30021,30024) = 3
LCM(30021,30024) = ( 30021 × 30024) / 3
LCM(30021,30024) = 901350504 / 3
LCM(30021,30024) = 300450168

Properties of LCM 30021 and 30024

(i) The LCM of 30024 and 30021 is associative

LCM of 30021 and 30024 = LCM of 30024 and 30021

Related Least Common Multiples of 30021

Related Least Common Multiples of 30024

Frequently Asked Questions on LCM of 30021 and 30024

1. What is the LCM of 30021 and 30024?

Answer: LCM of 30021 and 30024 is 300450168.

2. What are the Factors of 30021?

Answer: Factors of 30021 are 1, 3, 10007, 30021. There are 4 integers that are factors of 30021. The greatest factor of 30021 is 30021.

3. What are the Factors of 30024?

Answer: Factors of 30024 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012, 30024. There are 32 integers that are factors of 30024. The greatest factor of 30024 is 30024.

4. How to Find the LCM of 30021 and 30024?

Answer:

Least Common Multiple of 30021 and 30024 = 300450168

Step 1: Find the prime factorization of 30021

30021 = 3 x 10007

Step 2: Find the prime factorization of 30024

30024 = 2 x 2 x 2 x 3 x 3 x 3 x 139

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

LCM = 300450168 = 2 x 2 x 2 x 3 x 3 x 3 x 139 x 10007

Step 4: Therefore, the least common multiple of 30021 and 30024 is 300450168.