Least Common Multiple (LCM) of 171 and 126
The least common multiple (LCM) of 171 and 126 is 2394.
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 171 and 126?
First, calculate the GCD of 171 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 126 = 1 remainder 45 |
| 2 | 126 ÷ 45 = 2 remainder 36 |
| 3 | 45 ÷ 36 = 1 remainder 9 |
| 4 | 36 ÷ 9 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 44 | 4796 |
| 155 and 58 | 8990 |
| 159 and 12 | 636 |
| 187 and 182 | 34034 |
| 17 and 118 | 2006 |