Least Common Multiple (LCM) of 108 and 160
The least common multiple (LCM) of 108 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 108 and 160?
First, calculate the GCD of 108 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 160 = 0 remainder 108 |
| 2 | 160 ÷ 108 = 1 remainder 52 |
| 3 | 108 ÷ 52 = 2 remainder 4 |
| 4 | 52 ÷ 4 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 108 | 15660 |
| 89 and 199 | 17711 |
| 116 and 69 | 8004 |
| 47 and 170 | 7990 |
| 62 and 77 | 4774 |