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 |
|---|---|
| 118 and 41 | 4838 |
| 28 and 36 | 252 |
| 93 and 139 | 12927 |
| 41 and 108 | 4428 |
| 35 and 95 | 665 |