Least Common Multiple (LCM) of 122 and 32
The least common multiple (LCM) of 122 and 32 is 1952.
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 32?
First, calculate the GCD of 122 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 32 = 3 remainder 26 |
| 2 | 32 ÷ 26 = 1 remainder 6 |
| 3 | 26 ÷ 6 = 4 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 40 | 440 |
| 42 and 143 | 6006 |
| 199 and 44 | 8756 |
| 75 and 88 | 6600 |
| 158 and 10 | 790 |