Least Common Multiple of 663 and 671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 663 and 671 the smallest integer that is 444873 that is divisible by both numbers.
Least Common Multiple (LCM) of 663 and 671 is 444873.
LCM(663,671) = 444873
LCM of 663 and 671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 663 and 671 by Prime method
- Least Common Multiple of 663 and 671 with GCF Formula
LCM of 663 and 671 is 444873
Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 671. First we will calculate the prime factors of 663 and 671.
Prime Factorization of 663
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 663 are 3, 13,17. Prime factorization of 663 in exponential form is:
663 = 31×131×171
Prime Factorization of 671
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:
671 = 111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 663 and 671.
LCM(663,671) = 31×111×131×171×611
LCM(663,671) = 444873
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Least Common Multiple of 663 and 671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 663 and 671, than apply into the LCM equation.
GCF(663,671) = 1
LCM(663,671) = ( 663 × 671) / 1
LCM(663,671) = 444873 / 1
LCM(663,671) = 444873
Properties of LCM 663 and 671
(i) The LCM of 671 and 663 is associative
LCM of 663 and 671 = LCM of 671 and 663
Related Least Common Multiples of 663
Related Least Common Multiples of 671
Frequently Asked Questions on LCM of 663 and 671
1. What is the LCM of 663 and 671?
Answer: LCM of 663 and 671 is 444873.
2. What are the Factors of 663?
Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.
3. What are the Factors of 671?
Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.
4. How to Find the LCM of 663 and 671?
Answer:
Least Common Multiple of 663 and 671 = 444873
Step 1: Find the prime factorization of 663
663 = 3 x 13 x 17
Step 2: Find the prime factorization of 671
671 = 11 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 = 444873 = 3 x 11 x 13 x 17 x 61
Step 4: Therefore, the least common multiple of 663 and 671 is 444873.