Least Common Multiple (LCM) of 36 and 160
The least common multiple (LCM) of 36 and 160 is 1440.
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 36 and 160?
First, calculate the GCD of 36 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 160 = 0 remainder 36 |
| 2 | 160 ÷ 36 = 4 remainder 16 |
| 3 | 36 ÷ 16 = 2 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 108 | 756 |
| 30 and 70 | 210 |
| 112 and 35 | 560 |
| 146 and 84 | 6132 |
| 142 and 144 | 10224 |