Least Common Multiple (LCM) of 160 and 135
The least common multiple (LCM) of 160 and 135 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 160 and 135?
First, calculate the GCD of 160 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 135 = 1 remainder 25 |
| 2 | 135 ÷ 25 = 5 remainder 10 |
| 3 | 25 ÷ 10 = 2 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 25 | 50 |
| 135 and 86 | 11610 |
| 19 and 120 | 2280 |
| 146 and 49 | 7154 |
| 192 and 47 | 9024 |