Least Common Multiple (LCM) of 106 and 141
The least common multiple (LCM) of 106 and 141 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 106 and 141?
First, calculate the GCD of 106 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 141 = 0 remainder 106 |
| 2 | 141 ÷ 106 = 1 remainder 35 |
| 3 | 106 ÷ 35 = 3 remainder 1 |
| 4 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 24 | 4728 |
| 191 and 137 | 26167 |
| 129 and 69 | 2967 |
| 117 and 157 | 18369 |
| 68 and 63 | 4284 |