Least Common Multiple (LCM) of 160 and 55
The least common multiple (LCM) of 160 and 55 is 1760.
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 55?
First, calculate the GCD of 160 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 55 = 2 remainder 50 |
| 2 | 55 ÷ 50 = 1 remainder 5 |
| 3 | 50 ÷ 5 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 76 | 13452 |
| 162 and 143 | 23166 |
| 118 and 189 | 22302 |
| 83 and 13 | 1079 |
| 77 and 189 | 2079 |