Least Common Multiple (LCM) of 162 and 124
The least common multiple (LCM) of 162 and 124 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 162 and 124?
First, calculate the GCD of 162 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 124 = 1 remainder 38 |
| 2 | 124 ÷ 38 = 3 remainder 10 |
| 3 | 38 ÷ 10 = 3 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 29 | 3248 |
| 122 and 44 | 2684 |
| 134 and 147 | 19698 |
| 161 and 106 | 17066 |
| 199 and 136 | 27064 |