Least Common Multiple (LCM) of 20 and 122
The least common multiple (LCM) of 20 and 122 is 1220.
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 20 and 122?
First, calculate the GCD of 20 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 122 = 0 remainder 20 |
| 2 | 122 ÷ 20 = 6 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 169 | 28730 |
| 116 and 89 | 10324 |
| 163 and 182 | 29666 |
| 157 and 119 | 18683 |
| 105 and 176 | 18480 |