Least Common Multiple (LCM) of 126 and 162
The least common multiple (LCM) of 126 and 162 is 1134.
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 126 and 162?
First, calculate the GCD of 126 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 162 = 0 remainder 126 |
| 2 | 162 ÷ 126 = 1 remainder 36 |
| 3 | 126 ÷ 36 = 3 remainder 18 |
| 4 | 36 ÷ 18 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 120 | 2760 |
| 165 and 160 | 5280 |
| 31 and 199 | 6169 |
| 43 and 40 | 1720 |
| 17 and 101 | 1717 |