Least Common Multiple (LCM) of 166 and 113
The least common multiple (LCM) of 166 and 113 is 18758.
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 113?
First, calculate the GCD of 166 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 113 = 1 remainder 53 |
| 2 | 113 ÷ 53 = 2 remainder 7 |
| 3 | 53 ÷ 7 = 7 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 44 | 572 |
| 179 and 155 | 27745 |
| 143 and 107 | 15301 |
| 158 and 151 | 23858 |
| 176 and 175 | 30800 |