Least Common Multiple (LCM) of 160 and 163
The least common multiple (LCM) of 160 and 163 is 26080.
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 160 and 163?
First, calculate the GCD of 160 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 163 = 0 remainder 160 |
| 2 | 163 ÷ 160 = 1 remainder 3 |
| 3 | 160 ÷ 3 = 53 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 185 | 18870 |
| 150 and 96 | 2400 |
| 195 and 138 | 8970 |
| 192 and 189 | 12096 |
| 149 and 112 | 16688 |