Least Common Multiple (LCM) of 139 and 94
The least common multiple (LCM) of 139 and 94 is 13066.
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 94?
First, calculate the GCD of 139 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 94 = 1 remainder 45 |
| 2 | 94 ÷ 45 = 2 remainder 4 |
| 3 | 45 ÷ 4 = 11 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 175 | 525 |
| 45 and 42 | 630 |
| 199 and 158 | 31442 |
| 120 and 195 | 1560 |
| 34 and 139 | 4726 |