Least Common Multiple (LCM) of 124 and 162
The least common multiple (LCM) of 124 and 162 is 10044.
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 124 and 162?
First, calculate the GCD of 124 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 162 = 0 remainder 124 |
| 2 | 162 ÷ 124 = 1 remainder 38 |
| 3 | 124 ÷ 38 = 3 remainder 10 |
| 4 | 38 ÷ 10 = 3 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 71 | 9230 |
| 57 and 187 | 10659 |
| 191 and 102 | 19482 |
| 50 and 146 | 3650 |
| 40 and 15 | 120 |