Least Common Multiple of 7009 and 7013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7009 and 7013 the smallest integer that is 49154117 that is divisible by both numbers.

Least Common Multiple (LCM) of 7009 and 7013 is 49154117.

LCM(7009,7013) = 49154117

LCM of 7009 and 7013

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

LCM of:
and

Least Common Multiple of 7009 and 7013

LCM of 7009 and 7013 is 49154117

Least common multiple can be found by multiplying the highest exponent prime factors of 7009 and 7013. First we will calculate the prime factors of 7009 and 7013.

Prime Factorization of 7009


43 7009
163 163
1

Prime factors of 7009 are 43,163. Prime factorization of 7009 in exponential form is:

7009 = 431×1631

Prime Factorization of 7013


7013 7013
1

Prime factors of 7013 are 7013. Prime factorization of 7013 in exponential form is:

7013 = 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 7009 and 7013.

LCM(7009,7013) = 431×1631×70131
LCM(7009,7013) = 49154117

Factors of 7009

List of positive integer factors of 7009 that divides 7009 without a remainder.

1, 43, 163, 7009

Factors of 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1, 7013

Least Common Multiple of 7009 and 7013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7009 and 7013, than apply into the LCM equation.

GCF(7009,7013) = 1
LCM(7009,7013) = ( 7009 × 7013) / 1
LCM(7009,7013) = 49154117 / 1
LCM(7009,7013) = 49154117

Properties of LCM 7009 and 7013

(i) The LCM of 7013 and 7009 is associative

LCM of 7009 and 7013 = LCM of 7013 and 7009

Related Least Common Multiples of 7009

Related Least Common Multiples of 7013

Frequently Asked Questions on LCM of 7009 and 7013

1. What is the LCM of 7009 and 7013?

Answer: LCM of 7009 and 7013 is 49154117.

2. What are the Factors of 7009?

Answer: Factors of 7009 are 1, 43, 163, 7009. There are 4 integers that are factors of 7009. The greatest factor of 7009 is 7009.

3. What are the Factors of 7013?

Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.

4. How to Find the LCM of 7009 and 7013?

Answer:

Least Common Multiple of 7009 and 7013 = 49154117

Step 1: Find the prime factorization of 7009

7009 = 43 x 163

Step 2: Find the prime factorization of 7013

7013 = 7013

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

LCM = 49154117 = 43 x 163 x 7013

Step 4: Therefore, the least common multiple of 7009 and 7013 is 49154117.