Least Common Multiple (LCM) of 166 and 190
The least common multiple (LCM) of 166 and 190 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 166 and 190?
First, calculate the GCD of 166 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 190 = 0 remainder 166 |
| 2 | 190 ÷ 166 = 1 remainder 24 |
| 3 | 166 ÷ 24 = 6 remainder 22 |
| 4 | 24 ÷ 22 = 1 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 36 | 612 |
| 32 and 70 | 1120 |
| 170 and 169 | 28730 |
| 93 and 62 | 186 |
| 119 and 140 | 2380 |