Least Common Multiple of 2666 and 2671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2666 and 2671 the smallest integer that is 7120886 that is divisible by both numbers.
Least Common Multiple (LCM) of 2666 and 2671 is 7120886.
LCM(2666,2671) = 7120886
LCM of 2666 and 2671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2666 and 2671 by Prime method
- Least Common Multiple of 2666 and 2671 with GCF Formula
LCM of 2666 and 2671 is 7120886
Least common multiple can be found by multiplying the highest exponent prime factors of 2666 and 2671. First we will calculate the prime factors of 2666 and 2671.
Prime Factorization of 2666
| 2 | 2666 |
| 31 | 1333 |
| 43 | 43 |
| 1 |
Prime factors of 2666 are 2, 31,43. Prime factorization of 2666 in exponential form is:
2666 = 21×311×431
Prime Factorization of 2671
| 2671 | 2671 |
| 1 |
Prime factors of 2671 are 2671. Prime factorization of 2671 in exponential form is:
2671 = 26711
Now multiplying the highest exponent prime factors to calculate the LCM of 2666 and 2671.
LCM(2666,2671) = 21×311×431×26711
LCM(2666,2671) = 7120886
Factors of 2666
List of positive integer factors of 2666 that divides 2666 without a remainder.
1, 2, 31, 43, 62, 86, 1333, 2666
Factors of 2671
List of positive integer factors of 2671 that divides 2671 without a remainder.
1, 2671
Least Common Multiple of 2666 and 2671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2666 and 2671, than apply into the LCM equation.
GCF(2666,2671) = 1
LCM(2666,2671) = ( 2666 × 2671) / 1
LCM(2666,2671) = 7120886 / 1
LCM(2666,2671) = 7120886
Properties of LCM 2666 and 2671
(i) The LCM of 2671 and 2666 is associative
LCM of 2666 and 2671 = LCM of 2671 and 2666
Related Least Common Multiples of 2666
Related Least Common Multiples of 2671
Frequently Asked Questions on LCM of 2666 and 2671
1. What is the LCM of 2666 and 2671?
Answer: LCM of 2666 and 2671 is 7120886.
2. What are the Factors of 2666?
Answer: Factors of 2666 are 1, 2, 31, 43, 62, 86, 1333, 2666. There are 8 integers that are factors of 2666. The greatest factor of 2666 is 2666.
3. What are the Factors of 2671?
Answer: Factors of 2671 are 1, 2671. There are 2 integers that are factors of 2671. The greatest factor of 2671 is 2671.
4. How to Find the LCM of 2666 and 2671?
Answer:
Least Common Multiple of 2666 and 2671 = 7120886
Step 1: Find the prime factorization of 2666
2666 = 2 x 31 x 43
Step 2: Find the prime factorization of 2671
2671 = 2671
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7120886 = 2 x 31 x 43 x 2671
Step 4: Therefore, the least common multiple of 2666 and 2671 is 7120886.