Least Common Multiple (LCM) of 20 and 60
The least common multiple (LCM) of 20 and 60 is 60.
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 60?
First, calculate the GCD of 20 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 60 = 0 remainder 20 |
| 2 | 60 ÷ 20 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 171 | 25308 |
| 78 and 183 | 4758 |
| 105 and 12 | 420 |
| 119 and 49 | 833 |
| 40 and 45 | 360 |