Least Common Multiple (LCM) of 192 and 139
The least common multiple (LCM) of 192 and 139 is 26688.
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 139?
First, calculate the GCD of 192 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 139 = 1 remainder 53 |
| 2 | 139 ÷ 53 = 2 remainder 33 |
| 3 | 53 ÷ 33 = 1 remainder 20 |
| 4 | 33 ÷ 20 = 1 remainder 13 |
| 5 | 20 ÷ 13 = 1 remainder 7 |
| 6 | 13 ÷ 7 = 1 remainder 6 |
| 7 | 7 ÷ 6 = 1 remainder 1 |
| 8 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 79 | 13272 |
| 21 and 138 | 966 |
| 143 and 66 | 858 |
| 35 and 16 | 560 |
| 150 and 104 | 7800 |