Least Common Multiple of 6670 and 6671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6670 and 6671 the smallest integer that is 44495570 that is divisible by both numbers.
Least Common Multiple (LCM) of 6670 and 6671 is 44495570.
LCM(6670,6671) = 44495570
LCM of 6670 and 6671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6670 and 6671 by Prime method
- Least Common Multiple of 6670 and 6671 with GCF Formula
LCM of 6670 and 6671 is 44495570
Least common multiple can be found by multiplying the highest exponent prime factors of 6670 and 6671. First we will calculate the prime factors of 6670 and 6671.
Prime Factorization of 6670
| 2 | 6670 |
| 5 | 3335 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 6670 are 2, 5, 23,29. Prime factorization of 6670 in exponential form is:
6670 = 21×51×231×291
Prime Factorization of 6671
| 7 | 6671 |
| 953 | 953 |
| 1 |
Prime factors of 6671 are 7,953. Prime factorization of 6671 in exponential form is:
6671 = 71×9531
Now multiplying the highest exponent prime factors to calculate the LCM of 6670 and 6671.
LCM(6670,6671) = 21×51×71×231×291×9531
LCM(6670,6671) = 44495570
Factors of 6670
List of positive integer factors of 6670 that divides 6670 without a remainder.
1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
Factors of 6671
List of positive integer factors of 6671 that divides 6671 without a remainder.
1, 7, 953, 6671
Least Common Multiple of 6670 and 6671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6670 and 6671, than apply into the LCM equation.
GCF(6670,6671) = 1
LCM(6670,6671) = ( 6670 × 6671) / 1
LCM(6670,6671) = 44495570 / 1
LCM(6670,6671) = 44495570
Properties of LCM 6670 and 6671
(i) The LCM of 6671 and 6670 is associative
LCM of 6670 and 6671 = LCM of 6671 and 6670
Related Least Common Multiples of 6670
Related Least Common Multiples of 6671
Frequently Asked Questions on LCM of 6670 and 6671
1. What is the LCM of 6670 and 6671?
Answer: LCM of 6670 and 6671 is 44495570.
2. What are the Factors of 6670?
Answer: Factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670. There are 16 integers that are factors of 6670. The greatest factor of 6670 is 6670.
3. What are the Factors of 6671?
Answer: Factors of 6671 are 1, 7, 953, 6671. There are 4 integers that are factors of 6671. The greatest factor of 6671 is 6671.
4. How to Find the LCM of 6670 and 6671?
Answer:
Least Common Multiple of 6670 and 6671 = 44495570
Step 1: Find the prime factorization of 6670
6670 = 2 x 5 x 23 x 29
Step 2: Find the prime factorization of 6671
6671 = 7 x 953
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44495570 = 2 x 5 x 7 x 23 x 29 x 953
Step 4: Therefore, the least common multiple of 6670 and 6671 is 44495570.