Least Common Multiple (LCM) of 166 and 93
The least common multiple (LCM) of 166 and 93 is 15438.
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 93?
First, calculate the GCD of 166 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 93 = 1 remainder 73 |
| 2 | 93 ÷ 73 = 1 remainder 20 |
| 3 | 73 ÷ 20 = 3 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 72 | 2088 |
| 31 and 173 | 5363 |
| 185 and 65 | 2405 |
| 200 and 131 | 26200 |
| 26 and 74 | 962 |