Least Common Multiple (LCM) of 141 and 194
The least common multiple (LCM) of 141 and 194 is 27354.
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 194?
First, calculate the GCD of 141 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 194 = 0 remainder 141 |
| 2 | 194 ÷ 141 = 1 remainder 53 |
| 3 | 141 ÷ 53 = 2 remainder 35 |
| 4 | 53 ÷ 35 = 1 remainder 18 |
| 5 | 35 ÷ 18 = 1 remainder 17 |
| 6 | 18 ÷ 17 = 1 remainder 1 |
| 7 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 123 | 16851 |
| 71 and 171 | 12141 |
| 175 and 183 | 32025 |
| 158 and 178 | 14062 |
| 29 and 57 | 1653 |