Least Common Multiple (LCM) of 138 and 166
The least common multiple (LCM) of 138 and 166 is 11454.
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 138 and 166?
First, calculate the GCD of 138 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 166 = 0 remainder 138 |
| 2 | 166 ÷ 138 = 1 remainder 28 |
| 3 | 138 ÷ 28 = 4 remainder 26 |
| 4 | 28 ÷ 26 = 1 remainder 2 |
| 5 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 179 | 20585 |
| 183 and 110 | 20130 |
| 192 and 162 | 5184 |
| 86 and 190 | 8170 |
| 76 and 118 | 4484 |