Least Common Multiple (LCM) of 141 and 67
The least common multiple (LCM) of 141 and 67 is 9447.
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 67?
First, calculate the GCD of 141 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 67 = 2 remainder 7 |
| 2 | 67 ÷ 7 = 9 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 172 | 8600 |
| 64 and 83 | 5312 |
| 187 and 156 | 29172 |
| 196 and 160 | 7840 |
| 73 and 14 | 1022 |