Least Common Multiple (LCM) of 20 and 160
The least common multiple (LCM) of 20 and 160 is 160.
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 160?
First, calculate the GCD of 20 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 160 = 0 remainder 20 |
| 2 | 160 ÷ 20 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 147 | 5586 |
| 38 and 109 | 4142 |
| 137 and 52 | 7124 |
| 120 and 45 | 360 |
| 30 and 60 | 60 |