Least Common Multiple of 30012 and 30019

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 30019 the smallest integer that is 900930228 that is divisible by both numbers.

Least Common Multiple (LCM) of 30012 and 30019 is 900930228.

LCM(30012,30019) = 900930228

LCM of 30012 and 30019

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

LCM of:
and

Least Common Multiple of 30012 and 30019

LCM of 30012 and 30019 is 900930228

Least common multiple can be found by multiplying the highest exponent prime factors of 30012 and 30019. First we will calculate the prime factors of 30012 and 30019.

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 30019


11 30019
2729 2729
1

Prime factors of 30019 are 11,2729. Prime factorization of 30019 in exponential form is:

30019 = 111×27291

Now multiplying the highest exponent prime factors to calculate the LCM of 30012 and 30019.

LCM(30012,30019) = 22×31×111×411×611×27291
LCM(30012,30019) = 900930228

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 30019

List of positive integer factors of 30019 that divides 30019 without a remainder.

1, 11, 2729, 30019

Least Common Multiple of 30012 and 30019 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 30019, than apply into the LCM equation.

GCF(30012,30019) = 1
LCM(30012,30019) = ( 30012 × 30019) / 1
LCM(30012,30019) = 900930228 / 1
LCM(30012,30019) = 900930228

Properties of LCM 30012 and 30019

(i) The LCM of 30019 and 30012 is associative

LCM of 30012 and 30019 = LCM of 30019 and 30012

Related Least Common Multiples of 30012

Related Least Common Multiples of 30019

Frequently Asked Questions on LCM of 30012 and 30019

1. What is the LCM of 30012 and 30019?

Answer: LCM of 30012 and 30019 is 900930228.

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 30019?

Answer: Factors of 30019 are 1, 11, 2729, 30019. There are 4 integers that are factors of 30019. The greatest factor of 30019 is 30019.

4. How to Find the LCM of 30012 and 30019?

Answer:

Least Common Multiple of 30012 and 30019 = 900930228

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 30019

30019 = 11 x 2729

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

LCM = 900930228 = 2 x 2 x 3 x 11 x 41 x 61 x 2729

Step 4: Therefore, the least common multiple of 30012 and 30019 is 900930228.