Least Common Multiple (LCM) of 10 and 160
The least common multiple (LCM) of 10 and 160 is 160.
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 10 and 160?
First, calculate the GCD of 10 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 160 = 0 remainder 10 |
| 2 | 160 ÷ 10 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 45 | 585 |
| 106 and 11 | 1166 |
| 77 and 139 | 10703 |
| 119 and 83 | 9877 |
| 75 and 187 | 14025 |