Least Common Multiple of 30007 and 30011

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 30011 the smallest integer that is 900540077 that is divisible by both numbers.

Least Common Multiple (LCM) of 30007 and 30011 is 900540077.

LCM(30007,30011) = 900540077

LCM of 30007 and 30011

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

LCM of:
and

Least Common Multiple of 30007 and 30011

LCM of 30007 and 30011 is 900540077

Least common multiple can be found by multiplying the highest exponent prime factors of 30007 and 30011. First we will calculate the prime factors of 30007 and 30011.

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 30011


30011 30011
1

Prime factors of 30011 are 30011. Prime factorization of 30011 in exponential form is:

30011 = 300111

Now multiplying the highest exponent prime factors to calculate the LCM of 30007 and 30011.

LCM(30007,30011) = 371×8111×300111
LCM(30007,30011) = 900540077

Factors of 30007

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

1, 37, 811, 30007

Factors of 30011

List of positive integer factors of 30011 that divides 30011 without a remainder.

1, 30011

Least Common Multiple of 30007 and 30011 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 30011, than apply into the LCM equation.

GCF(30007,30011) = 1
LCM(30007,30011) = ( 30007 × 30011) / 1
LCM(30007,30011) = 900540077 / 1
LCM(30007,30011) = 900540077

Properties of LCM 30007 and 30011

(i) The LCM of 30011 and 30007 is associative

LCM of 30007 and 30011 = LCM of 30011 and 30007

Related Least Common Multiples of 30007

Related Least Common Multiples of 30011

Frequently Asked Questions on LCM of 30007 and 30011

1. What is the LCM of 30007 and 30011?

Answer: LCM of 30007 and 30011 is 900540077.

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 30011?

Answer: Factors of 30011 are 1, 30011. There are 2 integers that are factors of 30011. The greatest factor of 30011 is 30011.

4. How to Find the LCM of 30007 and 30011?

Answer:

Least Common Multiple of 30007 and 30011 = 900540077

Step 1: Find the prime factorization of 30007

30007 = 37 x 811

Step 2: Find the prime factorization of 30011

30011 = 30011

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

LCM = 900540077 = 37 x 811 x 30011

Step 4: Therefore, the least common multiple of 30007 and 30011 is 900540077.