Least Common Multiple of 7007 and 7011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7007 and 7011 the smallest integer that is 49126077 that is divisible by both numbers.

Least Common Multiple (LCM) of 7007 and 7011 is 49126077.

LCM(7007,7011) = 49126077

LCM of 7007 and 7011

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

LCM of:
and

Least Common Multiple of 7007 and 7011

LCM of 7007 and 7011 is 49126077

Least common multiple can be found by multiplying the highest exponent prime factors of 7007 and 7011. First we will calculate the prime factors of 7007 and 7011.

Prime Factorization of 7007


7 7007
7 1001
11 143
13 13
1

Prime factors of 7007 are 7, 11,13. Prime factorization of 7007 in exponential form is:

7007 = 72×111×131

Prime Factorization of 7011


3 7011
3 2337
19 779
41 41
1

Prime factors of 7011 are 3, 19,41. Prime factorization of 7011 in exponential form is:

7011 = 32×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7007 and 7011.

LCM(7007,7011) = 32×72×111×131×191×411
LCM(7007,7011) = 49126077

Factors of 7007

List of positive integer factors of 7007 that divides 7007 without a remainder.

1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007

Factors of 7011

List of positive integer factors of 7011 that divides 7011 without a remainder.

1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011

Least Common Multiple of 7007 and 7011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7007 and 7011, than apply into the LCM equation.

GCF(7007,7011) = 1
LCM(7007,7011) = ( 7007 × 7011) / 1
LCM(7007,7011) = 49126077 / 1
LCM(7007,7011) = 49126077

Properties of LCM 7007 and 7011

(i) The LCM of 7011 and 7007 is associative

LCM of 7007 and 7011 = LCM of 7011 and 7007

Related Least Common Multiples of 7007

Related Least Common Multiples of 7011

Frequently Asked Questions on LCM of 7007 and 7011

1. What is the LCM of 7007 and 7011?

Answer: LCM of 7007 and 7011 is 49126077.

2. What are the Factors of 7007?

Answer: Factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. There are 12 integers that are factors of 7007. The greatest factor of 7007 is 7007.

3. What are the Factors of 7011?

Answer: Factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011. There are 12 integers that are factors of 7011. The greatest factor of 7011 is 7011.

4. How to Find the LCM of 7007 and 7011?

Answer:

Least Common Multiple of 7007 and 7011 = 49126077

Step 1: Find the prime factorization of 7007

7007 = 7 x 7 x 11 x 13

Step 2: Find the prime factorization of 7011

7011 = 3 x 3 x 19 x 41

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

LCM = 49126077 = 3 x 3 x 7 x 7 x 11 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 7007 and 7011 is 49126077.