Least Common Multiple of 30007 and 30012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30007 and 30012 the smallest integer that is 900570084 that is divisible by both numbers.

Least Common Multiple (LCM) of 30007 and 30012 is 900570084.

LCM(30007,30012) = 900570084

LCM of 30007 and 30012

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

LCM of:
and

Least Common Multiple of 30007 and 30012

LCM of 30007 and 30012 is 900570084

Least common multiple can be found by multiplying the highest exponent prime factors of 30007 and 30012. First we will calculate the prime factors of 30007 and 30012.

Prime Factorization of 30007


37 30007
811 811
1

Prime factors of 30007 are 37,811. Prime factorization of 30007 in exponential form is:

30007 = 371×8111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 30007 and 30012.

LCM(30007,30012) = 22×31×371×411×611×8111
LCM(30007,30012) = 900570084

Factors of 30007

List of positive integer factors of 30007 that divides 30007 without a remainder.

1, 37, 811, 30007

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

Least Common Multiple of 30007 and 30012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30007 and 30012, than apply into the LCM equation.

GCF(30007,30012) = 1
LCM(30007,30012) = ( 30007 × 30012) / 1
LCM(30007,30012) = 900570084 / 1
LCM(30007,30012) = 900570084

Properties of LCM 30007 and 30012

(i) The LCM of 30012 and 30007 is associative

LCM of 30007 and 30012 = LCM of 30012 and 30007

Related Least Common Multiples of 30007

Related Least Common Multiples of 30012

Frequently Asked Questions on LCM of 30007 and 30012

1. What is the LCM of 30007 and 30012?

Answer: LCM of 30007 and 30012 is 900570084.

2. What are the Factors of 30007?

Answer: Factors of 30007 are 1, 37, 811, 30007. There are 4 integers that are factors of 30007. The greatest factor of 30007 is 30007.

3. 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.

4. How to Find the LCM of 30007 and 30012?

Answer:

Least Common Multiple of 30007 and 30012 = 900570084

Step 1: Find the prime factorization of 30007

30007 = 37 x 811

Step 2: Find the prime factorization of 30012

30012 = 2 x 2 x 3 x 41 x 61

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

LCM = 900570084 = 2 x 2 x 3 x 37 x 41 x 61 x 811

Step 4: Therefore, the least common multiple of 30007 and 30012 is 900570084.