Least Common Multiple (LCM) of 160 and 100
The least common multiple (LCM) of 160 and 100 is 800.
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 100?
First, calculate the GCD of 160 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 100 = 1 remainder 60 |
| 2 | 100 ÷ 60 = 1 remainder 40 |
| 3 | 60 ÷ 40 = 1 remainder 20 |
| 4 | 40 ÷ 20 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 32 | 160 |
| 116 and 99 | 11484 |
| 161 and 152 | 24472 |
| 20 and 105 | 420 |
| 160 and 63 | 10080 |