Least Common Multiple of 7070 and 7073
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7070 and 7073 the smallest integer that is 50006110 that is divisible by both numbers.
Least Common Multiple (LCM) of 7070 and 7073 is 50006110.
LCM(7070,7073) = 50006110
LCM of 7070 and 7073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7070 and 7073 by Prime method
- Least Common Multiple of 7070 and 7073 with GCF Formula
LCM of 7070 and 7073 is 50006110
Least common multiple can be found by multiplying the highest exponent prime factors of 7070 and 7073. First we will calculate the prime factors of 7070 and 7073.
Prime Factorization of 7070
| 2 | 7070 |
| 5 | 3535 |
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 7070 are 2, 5, 7,101. Prime factorization of 7070 in exponential form is:
7070 = 21×51×71×1011
Prime Factorization of 7073
| 11 | 7073 |
| 643 | 643 |
| 1 |
Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:
7073 = 111×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 7070 and 7073.
LCM(7070,7073) = 21×51×71×111×1011×6431
LCM(7070,7073) = 50006110
Factors of 7070
List of positive integer factors of 7070 that divides 7070 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1, 11, 643, 7073
Least Common Multiple of 7070 and 7073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7070 and 7073, than apply into the LCM equation.
GCF(7070,7073) = 1
LCM(7070,7073) = ( 7070 × 7073) / 1
LCM(7070,7073) = 50006110 / 1
LCM(7070,7073) = 50006110
Properties of LCM 7070 and 7073
(i) The LCM of 7073 and 7070 is associative
LCM of 7070 and 7073 = LCM of 7073 and 7070
Related Least Common Multiples of 7070
Related Least Common Multiples of 7073
Frequently Asked Questions on LCM of 7070 and 7073
1. What is the LCM of 7070 and 7073?
Answer: LCM of 7070 and 7073 is 50006110.
2. What are the Factors of 7070?
Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.
3. What are the Factors of 7073?
Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.
4. How to Find the LCM of 7070 and 7073?
Answer:
Least Common Multiple of 7070 and 7073 = 50006110
Step 1: Find the prime factorization of 7070
7070 = 2 x 5 x 7 x 101
Step 2: Find the prime factorization of 7073
7073 = 11 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50006110 = 2 x 5 x 7 x 11 x 101 x 643
Step 4: Therefore, the least common multiple of 7070 and 7073 is 50006110.