Least Common Multiple (LCM) of 190 and 166
The least common multiple (LCM) of 190 and 166 is 15770.
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 190 and 166?
First, calculate the GCD of 190 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 166 = 1 remainder 24 |
| 2 | 166 ÷ 24 = 6 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 72 | 9864 |
| 71 and 137 | 9727 |
| 107 and 43 | 4601 |
| 54 and 161 | 8694 |
| 195 and 32 | 6240 |