Least Common Multiple of 30002 and 30007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30002 and 30007 the smallest integer that is 900270014 that is divisible by both numbers.

Least Common Multiple (LCM) of 30002 and 30007 is 900270014.

LCM(30002,30007) = 900270014

LCM of 30002 and 30007

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

LCM of:
and

Least Common Multiple of 30002 and 30007

LCM of 30002 and 30007 is 900270014

Least common multiple can be found by multiplying the highest exponent prime factors of 30002 and 30007. First we will calculate the prime factors of 30002 and 30007.

Prime Factorization of 30002


2 30002
7 15001
2143 2143
1

Prime factors of 30002 are 2, 7,2143. Prime factorization of 30002 in exponential form is:

30002 = 21×71×21431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 30002 and 30007.

LCM(30002,30007) = 21×71×371×8111×21431
LCM(30002,30007) = 900270014

Factors of 30002

List of positive integer factors of 30002 that divides 30002 without a remainder.

1, 2, 7, 14, 2143, 4286, 15001, 30002

Factors of 30007

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

1, 37, 811, 30007

Least Common Multiple of 30002 and 30007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30002 and 30007, than apply into the LCM equation.

GCF(30002,30007) = 1
LCM(30002,30007) = ( 30002 × 30007) / 1
LCM(30002,30007) = 900270014 / 1
LCM(30002,30007) = 900270014

Properties of LCM 30002 and 30007

(i) The LCM of 30007 and 30002 is associative

LCM of 30002 and 30007 = LCM of 30007 and 30002

Related Least Common Multiples of 30002

Related Least Common Multiples of 30007

Frequently Asked Questions on LCM of 30002 and 30007

1. What is the LCM of 30002 and 30007?

Answer: LCM of 30002 and 30007 is 900270014.

2. What are the Factors of 30002?

Answer: Factors of 30002 are 1, 2, 7, 14, 2143, 4286, 15001, 30002. There are 8 integers that are factors of 30002. The greatest factor of 30002 is 30002.

3. 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.

4. How to Find the LCM of 30002 and 30007?

Answer:

Least Common Multiple of 30002 and 30007 = 900270014

Step 1: Find the prime factorization of 30002

30002 = 2 x 7 x 2143

Step 2: Find the prime factorization of 30007

30007 = 37 x 811

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

LCM = 900270014 = 2 x 7 x 37 x 811 x 2143

Step 4: Therefore, the least common multiple of 30002 and 30007 is 900270014.