Least Common Multiple (LCM) of 30 and 160
The least common multiple (LCM) of 30 and 160 is 480.
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 30 and 160?
First, calculate the GCD of 30 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 160 = 0 remainder 30 |
| 2 | 160 ÷ 30 = 5 remainder 10 |
| 3 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 182 | 9100 |
| 169 and 179 | 30251 |
| 135 and 14 | 1890 |
| 117 and 60 | 2340 |
| 179 and 112 | 20048 |