Least Common Multiple (LCM) of 166 and 87
The least common multiple (LCM) of 166 and 87 is 14442.
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 87?
First, calculate the GCD of 166 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 87 = 1 remainder 79 |
| 2 | 87 ÷ 79 = 1 remainder 8 |
| 3 | 79 ÷ 8 = 9 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 16 | 2576 |
| 140 and 72 | 2520 |
| 79 and 140 | 11060 |
| 173 and 78 | 13494 |
| 144 and 160 | 1440 |