Least Common Multiple (LCM) of 176 and 160
The least common multiple (LCM) of 176 and 160 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 176 and 160?
First, calculate the GCD of 176 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 160 = 1 remainder 16 |
| 2 | 160 ÷ 16 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 150 | 19650 |
| 109 and 25 | 2725 |
| 53 and 179 | 9487 |
| 136 and 21 | 2856 |
| 30 and 159 | 1590 |