Least Common Multiple of 30024 and 30028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30024 and 30028 the smallest integer that is 225390168 that is divisible by both numbers.

Least Common Multiple (LCM) of 30024 and 30028 is 225390168.

LCM(30024,30028) = 225390168

LCM of 30024 and 30028

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

LCM of:
and

Least Common Multiple of 30024 and 30028

LCM of 30024 and 30028 is 225390168

Least common multiple can be found by multiplying the highest exponent prime factors of 30024 and 30028. First we will calculate the prime factors of 30024 and 30028.

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

Prime Factorization of 30028


2 30028
2 15014
7507 7507
1

Prime factors of 30028 are 2,7507. Prime factorization of 30028 in exponential form is:

30028 = 22×75071

Now multiplying the highest exponent prime factors to calculate the LCM of 30024 and 30028.

LCM(30024,30028) = 23×33×1391×75071
LCM(30024,30028) = 225390168

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

Factors of 30028

List of positive integer factors of 30028 that divides 30028 without a remainder.

1, 2, 4, 7507, 15014, 30028

Least Common Multiple of 30024 and 30028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30024 and 30028, than apply into the LCM equation.

GCF(30024,30028) = 4
LCM(30024,30028) = ( 30024 × 30028) / 4
LCM(30024,30028) = 901560672 / 4
LCM(30024,30028) = 225390168

Properties of LCM 30024 and 30028

(i) The LCM of 30028 and 30024 is associative

LCM of 30024 and 30028 = LCM of 30028 and 30024

Related Least Common Multiples of 30024

Related Least Common Multiples of 30028

Frequently Asked Questions on LCM of 30024 and 30028

1. What is the LCM of 30024 and 30028?

Answer: LCM of 30024 and 30028 is 225390168.

2. 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.

3. What are the Factors of 30028?

Answer: Factors of 30028 are 1, 2, 4, 7507, 15014, 30028. There are 6 integers that are factors of 30028. The greatest factor of 30028 is 30028.

4. How to Find the LCM of 30024 and 30028?

Answer:

Least Common Multiple of 30024 and 30028 = 225390168

Step 1: Find the prime factorization of 30024

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

Step 2: Find the prime factorization of 30028

30028 = 2 x 2 x 7507

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

LCM = 225390168 = 2 x 2 x 2 x 3 x 3 x 3 x 139 x 7507

Step 4: Therefore, the least common multiple of 30024 and 30028 is 225390168.