Least Common Multiple of 7010 and 7017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7010 and 7017 the smallest integer that is 49189170 that is divisible by both numbers.

Least Common Multiple (LCM) of 7010 and 7017 is 49189170.

LCM(7010,7017) = 49189170

LCM of 7010 and 7017

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

LCM of:
and

Least Common Multiple of 7010 and 7017

LCM of 7010 and 7017 is 49189170

Least common multiple can be found by multiplying the highest exponent prime factors of 7010 and 7017. First we will calculate the prime factors of 7010 and 7017.

Prime Factorization of 7010


2 7010
5 3505
701 701
1

Prime factors of 7010 are 2, 5,701. Prime factorization of 7010 in exponential form is:

7010 = 21×51×7011

Prime Factorization of 7017


3 7017
2339 2339
1

Prime factors of 7017 are 3,2339. Prime factorization of 7017 in exponential form is:

7017 = 31×23391

Now multiplying the highest exponent prime factors to calculate the LCM of 7010 and 7017.

LCM(7010,7017) = 21×31×51×7011×23391
LCM(7010,7017) = 49189170

Factors of 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1, 2, 5, 10, 701, 1402, 3505, 7010

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1, 3, 2339, 7017

Least Common Multiple of 7010 and 7017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7010 and 7017, than apply into the LCM equation.

GCF(7010,7017) = 1
LCM(7010,7017) = ( 7010 × 7017) / 1
LCM(7010,7017) = 49189170 / 1
LCM(7010,7017) = 49189170

Properties of LCM 7010 and 7017

(i) The LCM of 7017 and 7010 is associative

LCM of 7010 and 7017 = LCM of 7017 and 7010

Related Least Common Multiples of 7010

Related Least Common Multiples of 7017

Frequently Asked Questions on LCM of 7010 and 7017

1. What is the LCM of 7010 and 7017?

Answer: LCM of 7010 and 7017 is 49189170.

2. What are the Factors of 7010?

Answer: Factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010. There are 8 integers that are factors of 7010. The greatest factor of 7010 is 7010.

3. What are the Factors of 7017?

Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.

4. How to Find the LCM of 7010 and 7017?

Answer:

Least Common Multiple of 7010 and 7017 = 49189170

Step 1: Find the prime factorization of 7010

7010 = 2 x 5 x 701

Step 2: Find the prime factorization of 7017

7017 = 3 x 2339

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

LCM = 49189170 = 2 x 3 x 5 x 701 x 2339

Step 4: Therefore, the least common multiple of 7010 and 7017 is 49189170.