Least Common Multiple (LCM) of 160 and 192
The least common multiple (LCM) of 160 and 192 is 960.
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 192?
First, calculate the GCD of 160 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 192 = 0 remainder 160 |
| 2 | 192 ÷ 160 = 1 remainder 32 |
| 3 | 160 ÷ 32 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 69 | 2001 |
| 87 and 55 | 4785 |
| 141 and 194 | 27354 |
| 160 and 68 | 2720 |
| 85 and 104 | 8840 |