Least Common Multiple (LCM) of 166 and 100
The least common multiple (LCM) of 166 and 100 is 8300.
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 166 and 100?
First, calculate the GCD of 166 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 100 = 1 remainder 66 |
| 2 | 100 ÷ 66 = 1 remainder 34 |
| 3 | 66 ÷ 34 = 1 remainder 32 |
| 4 | 34 ÷ 32 = 1 remainder 2 |
| 5 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 142 | 6106 |
| 90 and 198 | 990 |
| 63 and 59 | 3717 |
| 167 and 192 | 32064 |
| 107 and 19 | 2033 |