Least Common Multiple (LCM) of 141 and 167
The least common multiple (LCM) of 141 and 167 is 23547.
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 167?
First, calculate the GCD of 141 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 167 = 0 remainder 141 |
| 2 | 167 ÷ 141 = 1 remainder 26 |
| 3 | 141 ÷ 26 = 5 remainder 11 |
| 4 | 26 ÷ 11 = 2 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 165 | 31845 |
| 139 and 195 | 27105 |
| 69 and 69 | 69 |
| 14 and 130 | 910 |
| 192 and 96 | 192 |