Least Common Multiple (LCM) of 122 and 124
The least common multiple (LCM) of 122 and 124 is 7564.
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 122 and 124?
First, calculate the GCD of 122 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 124 = 0 remainder 122 |
| 2 | 124 ÷ 122 = 1 remainder 2 |
| 3 | 122 ÷ 2 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 172 | 14964 |
| 200 and 192 | 4800 |
| 18 and 62 | 558 |
| 57 and 189 | 3591 |
| 51 and 164 | 8364 |