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 |
|---|---|
| 37 and 199 | 7363 |
| 177 and 161 | 28497 |
| 172 and 99 | 17028 |
| 167 and 40 | 6680 |
| 134 and 52 | 3484 |