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 |
|---|---|
| 171 and 177 | 10089 |
| 158 and 132 | 10428 |
| 129 and 196 | 25284 |
| 115 and 47 | 5405 |
| 137 and 194 | 26578 |