Least Common Multiple (LCM) of 167 and 126
The least common multiple (LCM) of 167 and 126 is 21042.
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 167 and 126?
First, calculate the GCD of 167 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 126 = 1 remainder 41 |
| 2 | 126 ÷ 41 = 3 remainder 3 |
| 3 | 41 ÷ 3 = 13 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 98 | 18718 |
| 139 and 34 | 4726 |
| 50 and 54 | 1350 |
| 41 and 89 | 3649 |
| 162 and 163 | 26406 |