Least Common Multiple (LCM) of 141 and 162
The least common multiple (LCM) of 141 and 162 is 7614.
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 162?
First, calculate the GCD of 141 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 162 = 0 remainder 141 |
| 2 | 162 ÷ 141 = 1 remainder 21 |
| 3 | 141 ÷ 21 = 6 remainder 15 |
| 4 | 21 ÷ 15 = 1 remainder 6 |
| 5 | 15 ÷ 6 = 2 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 192 | 7488 |
| 188 and 82 | 7708 |
| 67 and 29 | 1943 |
| 129 and 195 | 8385 |
| 38 and 196 | 3724 |