Least Common Multiple of 30012 and 30017

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 30017 the smallest integer that is 900870204 that is divisible by both numbers.

Least Common Multiple (LCM) of 30012 and 30017 is 900870204.

LCM(30012,30017) = 900870204

LCM of 30012 and 30017

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

LCM of:
and

Least Common Multiple of 30012 and 30017

LCM of 30012 and 30017 is 900870204

Least common multiple can be found by multiplying the highest exponent prime factors of 30012 and 30017. First we will calculate the prime factors of 30012 and 30017.

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 30017


13 30017
2309 2309
1

Prime factors of 30017 are 13,2309. Prime factorization of 30017 in exponential form is:

30017 = 131×23091

Now multiplying the highest exponent prime factors to calculate the LCM of 30012 and 30017.

LCM(30012,30017) = 22×31×131×411×611×23091
LCM(30012,30017) = 900870204

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 30017

List of positive integer factors of 30017 that divides 30017 without a remainder.

1, 13, 2309, 30017

Least Common Multiple of 30012 and 30017 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 30017, than apply into the LCM equation.

GCF(30012,30017) = 1
LCM(30012,30017) = ( 30012 × 30017) / 1
LCM(30012,30017) = 900870204 / 1
LCM(30012,30017) = 900870204

Properties of LCM 30012 and 30017

(i) The LCM of 30017 and 30012 is associative

LCM of 30012 and 30017 = LCM of 30017 and 30012

Related Least Common Multiples of 30012

Related Least Common Multiples of 30017

Frequently Asked Questions on LCM of 30012 and 30017

1. What is the LCM of 30012 and 30017?

Answer: LCM of 30012 and 30017 is 900870204.

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 30017?

Answer: Factors of 30017 are 1, 13, 2309, 30017. There are 4 integers that are factors of 30017. The greatest factor of 30017 is 30017.

4. How to Find the LCM of 30012 and 30017?

Answer:

Least Common Multiple of 30012 and 30017 = 900870204

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 30017

30017 = 13 x 2309

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

LCM = 900870204 = 2 x 2 x 3 x 13 x 41 x 61 x 2309

Step 4: Therefore, the least common multiple of 30012 and 30017 is 900870204.