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 7015 the smallest integer that is 9835030 that is divisible by both numbers.
Least Common Multiple (LCM) of 7010 and 7015 is 9835030.
LCM(7010,7015) = 9835030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7010 and 7015. First we will calculate the prime factors of 7010 and 7015.
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 7015
5 | 7015 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 7015 are 5, 23,61. Prime factorization of 7015 in exponential form is:
7015 = 51×231×611
Now multiplying the highest exponent prime factors to calculate the LCM of 7010 and 7015.
LCM(7010,7015) = 21×51×231×611×7011
LCM(7010,7015) = 9835030
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 7015
List of positive integer factors of 7015 that divides 7015 without a remainder.
1, 5, 23, 61, 115, 305, 1403, 7015
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7010 and 7015, than apply into the LCM equation.
GCF(7010,7015) = 5
LCM(7010,7015) = ( 7010 × 7015) / 5
LCM(7010,7015) = 49175150 / 5
LCM(7010,7015) = 9835030
(i) The LCM of 7015 and 7010 is associative
LCM of 7010 and 7015 = LCM of 7015 and 7010
1. What is the LCM of 7010 and 7015?
Answer: LCM of 7010 and 7015 is 9835030.
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 7015?
Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.
4. How to Find the LCM of 7010 and 7015?
Answer:
Least Common Multiple of 7010 and 7015 = 9835030
Step 1: Find the prime factorization of 7010
7010 = 2 x 5 x 701
Step 2: Find the prime factorization of 7015
7015 = 5 x 23 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9835030 = 2 x 5 x 23 x 61 x 701
Step 4: Therefore, the least common multiple of 7010 and 7015 is 9835030.