Least Common Multiple (LCM) of 166 and 74
The least common multiple (LCM) of 166 and 74 is 6142.
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 74?
First, calculate the GCD of 166 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 74 = 2 remainder 18 |
| 2 | 74 ÷ 18 = 4 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 41 | 4469 |
| 183 and 137 | 25071 |
| 64 and 40 | 320 |
| 170 and 117 | 19890 |
| 53 and 68 | 3604 |