Least Common Multiple (LCM) of 139 and 192
The least common multiple (LCM) of 139 and 192 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 139 and 192?
First, calculate the GCD of 139 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 192 = 0 remainder 139 |
| 2 | 192 ÷ 139 = 1 remainder 53 |
| 3 | 139 ÷ 53 = 2 remainder 33 |
| 4 | 53 ÷ 33 = 1 remainder 20 |
| 5 | 33 ÷ 20 = 1 remainder 13 |
| 6 | 20 ÷ 13 = 1 remainder 7 |
| 7 | 13 ÷ 7 = 1 remainder 6 |
| 8 | 7 ÷ 6 = 1 remainder 1 |
| 9 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 137 | 13837 |
| 127 and 72 | 9144 |
| 148 and 194 | 14356 |
| 149 and 101 | 15049 |
| 119 and 39 | 4641 |