Least Common Multiple (LCM) of 143 and 21
The least common multiple (LCM) of 143 and 21 is 3003.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 143 and 21?
First, calculate the GCD of 143 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 21 = 6 remainder 17 |
| 2 | 21 ÷ 17 = 1 remainder 4 |
| 3 | 17 ÷ 4 = 4 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 60 | 60 |
| 28 and 74 | 1036 |
| 129 and 55 | 7095 |
| 161 and 61 | 9821 |
| 187 and 165 | 2805 |