Least Common Multiple (LCM) of 141 and 74
The least common multiple (LCM) of 141 and 74 is 10434.
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 74?
First, calculate the GCD of 141 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 74 = 1 remainder 67 |
| 2 | 74 ÷ 67 = 1 remainder 7 |
| 3 | 67 ÷ 7 = 9 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 109 | 20383 |
| 56 and 29 | 1624 |
| 75 and 186 | 4650 |
| 89 and 172 | 15308 |
| 177 and 31 | 5487 |