Least Common Multiple (LCM) of 166 and 145
The least common multiple (LCM) of 166 and 145 is 24070.
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 145?
First, calculate the GCD of 166 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 145 = 1 remainder 21 |
| 2 | 145 ÷ 21 = 6 remainder 19 |
| 3 | 21 ÷ 19 = 1 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 79 | 8532 |
| 73 and 92 | 6716 |
| 38 and 197 | 7486 |
| 140 and 50 | 700 |
| 170 and 161 | 27370 |