Least Common Multiple (LCM) of 141 and 106
The least common multiple (LCM) of 141 and 106 is 14946.
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 106?
First, calculate the GCD of 141 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 106 = 1 remainder 35 |
| 2 | 106 ÷ 35 = 3 remainder 1 |
| 3 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 49 | 8379 |
| 72 and 189 | 1512 |
| 89 and 38 | 3382 |
| 84 and 165 | 4620 |
| 35 and 161 | 805 |