Least Common Multiple of 30020 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 30020 and 30028 the smallest integer that is 225360140 that is divisible by both numbers.

Least Common Multiple (LCM) of 30020 and 30028 is 225360140.

LCM(30020,30028) = 225360140

LCM of 30020 and 30028

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

LCM of:
and

Least Common Multiple of 30020 and 30028

LCM of 30020 and 30028 is 225360140

Least common multiple can be found by multiplying the highest exponent prime factors of 30020 and 30028. First we will calculate the prime factors of 30020 and 30028.

Prime Factorization of 30020


2 30020
2 15010
5 7505
19 1501
79 79
1

Prime factors of 30020 are 2, 5, 19,79. Prime factorization of 30020 in exponential form is:

30020 = 22×51×191×791

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 30020 and 30028.

LCM(30020,30028) = 22×51×191×791×75071
LCM(30020,30028) = 225360140

Factors of 30020

List of positive integer factors of 30020 that divides 30020 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 79, 95, 158, 190, 316, 380, 395, 790, 1501, 1580, 3002, 6004, 7505, 15010, 30020

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 30020 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 30020 and 30028, than apply into the LCM equation.

GCF(30020,30028) = 4
LCM(30020,30028) = ( 30020 × 30028) / 4
LCM(30020,30028) = 901440560 / 4
LCM(30020,30028) = 225360140

Properties of LCM 30020 and 30028

(i) The LCM of 30028 and 30020 is associative

LCM of 30020 and 30028 = LCM of 30028 and 30020

Related Least Common Multiples of 30020

Related Least Common Multiples of 30028

Frequently Asked Questions on LCM of 30020 and 30028

1. What is the LCM of 30020 and 30028?

Answer: LCM of 30020 and 30028 is 225360140.

2. What are the Factors of 30020?

Answer: Factors of 30020 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 79, 95, 158, 190, 316, 380, 395, 790, 1501, 1580, 3002, 6004, 7505, 15010, 30020. There are 24 integers that are factors of 30020. The greatest factor of 30020 is 30020.

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 30020 and 30028?

Answer:

Least Common Multiple of 30020 and 30028 = 225360140

Step 1: Find the prime factorization of 30020

30020 = 2 x 2 x 5 x 19 x 79

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 = 225360140 = 2 x 2 x 5 x 19 x 79 x 7507

Step 4: Therefore, the least common multiple of 30020 and 30028 is 225360140.