Least Common Multiple (LCM) of 141 and 154
The least common multiple (LCM) of 141 and 154 is 21714.
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 154?
First, calculate the GCD of 141 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 154 = 0 remainder 141 |
| 2 | 154 ÷ 141 = 1 remainder 13 |
| 3 | 141 ÷ 13 = 10 remainder 11 |
| 4 | 13 ÷ 11 = 1 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 193 | 22002 |
| 18 and 57 | 342 |
| 136 and 200 | 3400 |
| 46 and 154 | 3542 |
| 180 and 135 | 540 |