Least Common Multiple (LCM) of 166 and 178
The least common multiple (LCM) of 166 and 178 is 14774.
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 178?
First, calculate the GCD of 166 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 178 = 0 remainder 166 |
| 2 | 178 ÷ 166 = 1 remainder 12 |
| 3 | 166 ÷ 12 = 13 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 92 | 1380 |
| 178 and 12 | 1068 |
| 136 and 89 | 12104 |
| 111 and 52 | 5772 |
| 90 and 45 | 90 |