Least Common Multiple (LCM) of 122 and 42
The least common multiple (LCM) of 122 and 42 is 2562.
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 42?
First, calculate the GCD of 122 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 42 = 2 remainder 38 |
| 2 | 42 ÷ 38 = 1 remainder 4 |
| 3 | 38 ÷ 4 = 9 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 14 | 112 |
| 50 and 108 | 2700 |
| 24 and 149 | 3576 |
| 64 and 17 | 1088 |
| 73 and 40 | 2920 |