Least Common Multiple (LCM) of 84 and 166
The least common multiple (LCM) of 84 and 166 is 6972.
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 84 and 166?
First, calculate the GCD of 84 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 166 = 0 remainder 84 |
| 2 | 166 ÷ 84 = 1 remainder 82 |
| 3 | 84 ÷ 82 = 1 remainder 2 |
| 4 | 82 ÷ 2 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 23 | 2599 |
| 65 and 40 | 520 |
| 149 and 55 | 8195 |
| 94 and 170 | 7990 |
| 41 and 120 | 4920 |