Least Common Multiple (LCM) of 141 and 166
The least common multiple (LCM) of 141 and 166 is 23406.
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 141 and 166?
First, calculate the GCD of 141 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 166 = 0 remainder 141 |
| 2 | 166 ÷ 141 = 1 remainder 25 |
| 3 | 141 ÷ 25 = 5 remainder 16 |
| 4 | 25 ÷ 16 = 1 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 43 | 6235 |
| 76 and 112 | 2128 |
| 73 and 153 | 11169 |
| 167 and 35 | 5845 |
| 14 and 123 | 1722 |