Least Common Multiple (LCM) of 122 and 27
The least common multiple (LCM) of 122 and 27 is 3294.
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 27?
First, calculate the GCD of 122 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 27 = 4 remainder 14 |
| 2 | 27 ÷ 14 = 1 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 109 | 4469 |
| 104 and 92 | 2392 |
| 77 and 196 | 2156 |
| 35 and 144 | 5040 |
| 20 and 102 | 1020 |