Least Common Multiple of 30012 and 30020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30012 and 30020 the smallest integer that is 225240060 that is divisible by both numbers.

Least Common Multiple (LCM) of 30012 and 30020 is 225240060.

LCM(30012,30020) = 225240060

LCM of 30012 and 30020

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

LCM of:
and

Least Common Multiple of 30012 and 30020

LCM of 30012 and 30020 is 225240060

Least common multiple can be found by multiplying the highest exponent prime factors of 30012 and 30020. First we will calculate the prime factors of 30012 and 30020.

Prime Factorization of 30012


2 30012
2 15006
3 7503
41 2501
61 61
1

Prime factors of 30012 are 2, 3, 41,61. Prime factorization of 30012 in exponential form is:

30012 = 22×31×411×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 30012 and 30020.

LCM(30012,30020) = 22×31×51×191×411×611×791
LCM(30012,30020) = 225240060

Factors of 30012

List of positive integer factors of 30012 that divides 30012 without a remainder.

1, 2, 3, 4, 6, 12, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366, 492, 732, 2501, 5002, 7503, 10004, 15006, 30012

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

Least Common Multiple of 30012 and 30020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30012 and 30020, than apply into the LCM equation.

GCF(30012,30020) = 4
LCM(30012,30020) = ( 30012 × 30020) / 4
LCM(30012,30020) = 900960240 / 4
LCM(30012,30020) = 225240060

Properties of LCM 30012 and 30020

(i) The LCM of 30020 and 30012 is associative

LCM of 30012 and 30020 = LCM of 30020 and 30012

Related Least Common Multiples of 30012

Related Least Common Multiples of 30020

Frequently Asked Questions on LCM of 30012 and 30020

1. What is the LCM of 30012 and 30020?

Answer: LCM of 30012 and 30020 is 225240060.

2. What are the Factors of 30012?

Answer: Factors of 30012 are 1, 2, 3, 4, 6, 12, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366, 492, 732, 2501, 5002, 7503, 10004, 15006, 30012. There are 24 integers that are factors of 30012. The greatest factor of 30012 is 30012.

3. 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.

4. How to Find the LCM of 30012 and 30020?

Answer:

Least Common Multiple of 30012 and 30020 = 225240060

Step 1: Find the prime factorization of 30012

30012 = 2 x 2 x 3 x 41 x 61

Step 2: Find the prime factorization of 30020

30020 = 2 x 2 x 5 x 19 x 79

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

LCM = 225240060 = 2 x 2 x 3 x 5 x 19 x 41 x 61 x 79

Step 4: Therefore, the least common multiple of 30012 and 30020 is 225240060.