Least Common Multiple (LCM) of 160 and 48
The least common multiple (LCM) of 160 and 48 is 480.
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 48?
First, calculate the GCD of 160 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 48 = 3 remainder 16 |
| 2 | 48 ÷ 16 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 117 | 117 |
| 120 and 145 | 3480 |
| 42 and 186 | 1302 |
| 109 and 53 | 5777 |
| 172 and 56 | 2408 |