Least Common Multiple (LCM) of 141 and 68
The least common multiple (LCM) of 141 and 68 is 9588.
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 68?
First, calculate the GCD of 141 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 68 = 2 remainder 5 |
| 2 | 68 ÷ 5 = 13 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 17 | 187 |
| 172 and 150 | 12900 |
| 136 and 133 | 18088 |
| 66 and 89 | 5874 |
| 37 and 65 | 2405 |