Least Common Multiple (LCM) of 54 and 160
The least common multiple (LCM) of 54 and 160 is 4320.
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 54 and 160?
First, calculate the GCD of 54 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 160 = 0 remainder 54 |
| 2 | 160 ÷ 54 = 2 remainder 52 |
| 3 | 54 ÷ 52 = 1 remainder 2 |
| 4 | 52 ÷ 2 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 100 | 1800 |
| 171 and 127 | 21717 |
| 45 and 35 | 315 |
| 38 and 184 | 3496 |
| 68 and 132 | 2244 |