Least Common Multiple (LCM) of 134 and 139
The least common multiple (LCM) of 134 and 139 is 18626.
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 134 and 139?
First, calculate the GCD of 134 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 139 = 0 remainder 134 |
| 2 | 139 ÷ 134 = 1 remainder 5 |
| 3 | 134 ÷ 5 = 26 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 41 | 4346 |
| 46 and 159 | 7314 |
| 145 and 146 | 21170 |
| 86 and 32 | 1376 |
| 45 and 199 | 8955 |