Least Common Multiple (LCM) of 146 and 166
The least common multiple (LCM) of 146 and 166 is 12118.
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 146 and 166?
First, calculate the GCD of 146 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 166 = 0 remainder 146 |
| 2 | 166 ÷ 146 = 1 remainder 20 |
| 3 | 146 ÷ 20 = 7 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 140 | 11620 |
| 103 and 194 | 19982 |
| 13 and 137 | 1781 |
| 120 and 21 | 840 |
| 146 and 142 | 10366 |