Least Common Multiple (LCM) of 192 and 141
The least common multiple (LCM) of 192 and 141 is 9024.
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 192 and 141?
First, calculate the GCD of 192 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 141 = 1 remainder 51 |
| 2 | 141 ÷ 51 = 2 remainder 39 |
| 3 | 51 ÷ 39 = 1 remainder 12 |
| 4 | 39 ÷ 12 = 3 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 17 | 595 |
| 162 and 122 | 9882 |
| 135 and 118 | 15930 |
| 50 and 68 | 1700 |
| 102 and 137 | 13974 |